Respuesta :

Answer:

see explanation

Step-by-step 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 = [tex]\sqrt{98}[/tex]

since the figure is a square then each of the 3 sides is [tex]\sqrt{98}[/tex]

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

P = 3 × [tex]\sqrt{98}[/tex] + 7 + 7 ≈ 29.7 + 14 = 43.7 ft