Question

Please help! I have been trying to figure it out forever

Answer 1

see explanation

Explanation:

Joshua has made his error in the first step in the application of Pythagoras' theorem.

the square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides.

let the hypotenuse be h , then

h² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )

h =
`√(98)`

since the figure is a square then each of the 3 sides is
`√(98)`

the perimeter (P) is the sum of the 5 sides of the figure, that is

P = 3 ×
`√(98)` + 7 + 7 ≈ 29.7 + 14 = 43.7 ft