Question

The length of the diogonals of a rectangular garden is 34m. If it's longer side measures 30m, find the perimeter of garden. ​

Answer 1

92 m

Explanation:

Use the Pythagorean theorem to find the length of the shorter side.

Let w = length of the shorter side.

`w^(2) + 30^(2) = 34^(2) \\ w^(2) + 900 = 1156\\w^(2) = 256\\w = √(256) = 16`

The perimeter is 2l + 2w = 2(30) + 2(16) = 60 + 32 = 92 m