Question

A 37-foot walkway runs the diagonal of a rectangular garden. If the length of the garden is 35 feet, find the perimeter of the garden.

Answer 1

94 ft

Explanation:

The width of the garden is found using the Pythagorean theorem.

diagonal^2 = length^2 + width^2

width = √(diagonal^2 -length^2) = √(37^2 -35^2) = √144 = 12 . . . . feet

__

The perimeter is the sum of all side lengths, so is twice the sum of length and width:

P = 2(35 ft +12 ft) = 94 ft

The perimeter of the garden is 94 feet.