Geometry Problem Solver

The parallelogram                     

 

parallelogram

They give the tracks some problems can be solved automatically, the numerical values do not matter in the various examples.

Track 1

The base of a parallelogram is 20 cm long , the height is 15 cm long . Calculate the area of the parallelogram.

 

Track 2

The base of a parallelogram is 20 cm long , and the area is 300 cm ². Calculate the height of the parallelogram.

 

Track 3

The height of a parallelogram is 15 cm long , and the area is 300 cm ². Calculates the base of the parallelogram.

 

Track 4

A parallelogram has an angle of 120 ° . Calculate the size of the other three corners.

 

Track 5

The height of a parallelogram is the triple of the base; their sum is 60 cm . Calculate the area of the parallelogram.

 

Track 6

Two consecutive sides of a parallelogram are one of three fifths of the other and their difference is 150 centimeters. Calculate the perimeter of the parallelogram .

 

Track 7

A parallelogram and a triangle are equivalent. The hypotenuse of the triangle is 50 cm and the short sides are respectively 3/ 5 and 4/5 of the hypotenuse . Calculate the height of the parallelogram knowing that its base is congruent to the hypotenuse twice the height of the triangle.

 

Track 8

The perimeter of a parallelogram is 128 cm and its area is 1440 cm ². Knowing that the two consecutive sides are one 3/5 of the other, calculates the area of ?a rectangle having the dimensions congruent to the two heights of the parallelogram .

 

Track 9

A parallelogram has the area of 1500 cm ² and the base is the 5/3 of the height relative to it . Compute the measure of the base and the height relative to it .

 

Track 10

The area of ??a parallelogram is 3150 m², the sum of the two heights is 105 m and one of them is 3/4 of the other. Calculate the perimeter of the parallelogram .

 

Track 11

The perimeter of a parallelogram is 400 cm and one side is 3/5 of its row. Calculate the perimeter and area of ??an equilateral triangle with a side length congruent to the longer side of the parallelogram .

 

Track 12

The difference between two consecutive sides of a parallelogram measures 10 cm . Calculates the length of the sides knowing that the perimeter is 120 cm .

 

Track 13

A parallelogram has a base of 60 dm , the height of 30 dm , an angle of 45 degrees. Calculate the perimeter and area.

 

Track 14

In a parallelogram, the difference of the amplitudes of the two corners adjacent to one side measuring 29°20\'30\". Calculate the measure of each angle.

 

Track 15

In a parallelogram, the diagonal and the lower oblique side are perpendicular to each other . The lower diagonal measure 24 cm and 18 cm oblique side . Calculate the perimeter and area of ?the parallelogram.

 

Track 16

Calculate the area of a parallelogram knowing that the height is 3/ 5 of the base and that their difference measure 20 cm.

 

Track 17

Calculate the area of a parallelogram knowing that measure 15 cm and a height of 3 /5 of a relative basis.

 

Track 18

Calculate the area of a parallelogram , knowing that the sum of the base with the height is 80 dm and that the base is 5/3 of the height .

 

Track 19

Knowing that the base of a parallelogram measure 50 m and the height of it is congruent relative to its 3/5, calculates the area of the parallelogram.

 

Track 20

Calculate the size of the perimeter of a parallelogram of area 1200 cm ² knowing that his heights are 50 cm and 30 cm .

 

Track 21

The side of a square is congruent to the longer side of a parallelogram having the perimeter of 160 cm and a side 5/3 of its row. Calculate the perimeter of the square.

 

Track 22

The base of a parallelogram is 30 dm and 3 /5 of relating to it . Calculates the area .

 

Track 23

The two heights of a parallelogram measuring 30.4 cm and 24 cm . Knowing that the side on the lowest height is 38 cm long calculates the measure of the other side and the perimeter.

 

Track 24

In a parallelogram, one side is 3/ 5 of its row. Knowing that its perimeter is equal to 4/7 of that of a parallelogram having the long sides respectively 100 cm and 40 cm , calculates the extent of the sides of the first parallelogram

 

Track 25

The perimeter of a parallelogram is 160 cm and one side is 3/5 of its row. Calculate the two sides.

 

Track 26

A parallelogram has the area of 800 cm ² , the acute angle A is 45 ° and the height DH on the side AB is 10 cm. Calculates the length of the sides , the perimeter and the other height of the parallelogram .

 

Track 27

The perimeter of a parallelogram is 260 cm and one side is 5/8 of the other. Knowing that the height relative to the larger side measuring 48 cm calculates the area and the extent of the minor diagonal of the parallelogram .

 

Track 28

One side of a parallelogram is 50 cm and the relative height is 20 cm . Calculate the measure of the other side and perimeter , knowing that the height to which it refers is 25 cm.

 

Track 29

Calculate the measure of the height of a rectangular area of 1000 cm ² , knowing that two consecutive sides are 50 cm and 40 cm.

 

Track 30

Two consecutive sides of a parallelogram are 40 cm and 50 cm . If the relative height to the greater side measuring 20 cm as a measure the relative height to the second side ?

 

Track 31

The smaller side of a parallelogram perimeter of 160 cm is 30 cm. Calculate its area knowing that the height on the longest side measuring 20 cm

 

Track 32

The area of a rhombus is 864 cm ² and a diagonal is the 4/3 of the other. Calculate the area of a parallelogram whose base and height respectively congruent to 25/24 and 15/24 of the longest diagonal of the rhombus , the perimeter of a square equivalent to 16/15 of the parallelogram .

 

Track 33

The perimeter of a parallelogram is 220 m, one side measuring 50 m and its height is equal to its 3/5. Calculate:
the area of the parallelogram ;
height measurement on the other side ;
the perimeter of the square equivalent to 9/15 of the parallelogram ;
the perimeter of a rectangle with the height of 20 m and equivalent to the double of the parallelogram .

 

Track 34

In parallelogram ABCD height and lower diagonal measure 24 cm and 30 cm respectively . Knowing that each acute angle is 30 ° , calculate the perimeter and area of a parallelogram .

 

Track 35

Calculates the length of the diagonal lower and that of its projection on the basis of a parallelogram , knowing that the first one is perpendicular to the oblique side , that the perimeter of the parallelogram is 96 cm and that the base exceeds the side of 12 cm.

 

Track 36

Calculates the perimeter of a square equivalent to a parallelogram that has a perimeter of 210 cm, the oblique side of 25 cm and a height of 20 cm .

 

Track 37

A parallelogram and a triangle have bases long, 50 cm and 40 cm respectively . If the two figures have the same area and the height of the parallelogram measure 30 cm , calculates that of the triangle .

 

Track 38

In a parallelogram the base is three times the height relative to it and the area is 7500 m² , a square has the side congruent to twice the difference between the base and the height of the parallelogram calculate the perimeter and area of square .

 

Track 39

A parallelogram has a base of 40 cm and the height is 3/ 5 of the base . Calculate the perimeter of a rectangle congruent to the parallelogram knowing that its base is twice that of the parallelogram .

 

Track 40

A parallelogram has a base of 40 cm and the height is 3/ 5 of the base . Calculate the perimeter of a rectangle congruent to the parallelogram knowing that its base is 50 cm .

 

Track 41

A parallelogram has a base of 40 cm and the oblique side is 20 cm . Calculate the perimeter .

 

Track 42

A parallelogram has a base of 40 cm and the area of 800 cm ² . Calculate the height.

 

Track 43

A parallelogram has the height 20 cm and the area of 800 cm ² . Calculates the base.

 

Track 44

A parallelogram has a perimeter of 260 cm and the oblique side 50 cm. Calculates the base.

 

Track 45

A parallelogram has a perimeter of 260 cm and the base of 80 cm. Calculate the oblique side .

 

Track 46

The perimeter of a parallelogram is 260 cm and the base is 80 cm. Knowing that the height is 48 cm calculates the area and the extent of the two diagonals.

 

Track 47

A parallelogram is equivalent to a rectangle that has a base congruent to 5/3 of the height and the perimeter of 160 cm . Calculate the perimeter of the parallelogram , knowing that the measures of the relative heights of two consecutive sides differ by 25 cm and are congruent to 1/2 of the other

 

Track 48

A parallelogram is equivalent to 3/4 of a square area of 2500 cm ² . Calculate the perimeter of the parallelogram knowing that the height relative to a side measuring 25 cm and that the other side is congruent to the side of the square .

 

Track 49

Consider a parallelogram in which the height exceeds 3 cm 3/4 of the base. Their sum is 80 cm . Calculate the area of the parallelogram .

 

Track 50

In a parallelogram two consecutive corners are one 5/3 of the other. Calculates the amplitude of each of the corners of the parallelogram .

 

 

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The program for solving problems can give answers completely wrong.

prof. Pietro De Paolis

2014

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problems solved