Question

Two sides of a parallelogram are in the ratio 5:4. If the perimeter is 54cm , the length of the larger side is -

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15

Answer 1

15 cm

Explanation:

If we have two sides of a parallelogram in the ratio 5:4, then the other two sides must also be in the same ratio.

If the perimeter is 54, we can create the following equation regarding the length of each side

`5x+4x+5x+4x=54\\\\18x=54\\\\x=3`

As our value for x is 3, and we know that the value for the larger side is 5x, we can simply plug in x to get the length of the larger side

`5x\\\\5(3)\\\\15`