Question

the ratio of two sides of a parallelogram is3:5 and its perimeter is 160 m. find the dimensions of the parallelogram
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Answer 1

Step-by-step explanation:

If the two sides have a ratio of 3:4, that means their sides can be represented as 3x and 4x, which also have a ratio of 3:4.

Thus, if the sides of a parallelogram are 3x and 4x, its perimeter is equal to the following expression:

P=2(3x)+2(4x)

The perimeter is 56.

56=2(3x)+2(4x)

Divide both sides by 2.

28=3x+4x

28=7x

x=4

Plug these back into our side lengths: 3x and 4x

3(4)=12 cm

4(4)=16 cm