Answer:
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)](https://img.qammunity.org/2023/formulas/mathematics/high-school/wgks45q86c5j3mav85wjc8itfn82wrrb4s.png)
since the figure is a square then each of the 3 sides is
![√(98)](https://img.qammunity.org/2023/formulas/mathematics/high-school/wgks45q86c5j3mav85wjc8itfn82wrrb4s.png)
the perimeter (P) is the sum of the 5 sides of the figure, that is
P = 3 ×
+ 7 + 7 ≈ 29.7 + 14 = 43.7 ft