Question

A composite figure is formed by combining a square and a triangle. Its total area is 52.5 ft. The area of the

Answer 1

The length of each side of the square is 3 ft.

Step-by-step explanation:

We have , A composite figure is formed by combining a square and a triangle. Its total area is 52.5 ft. The area of the  triangle is 43.5 ft . We know that area of a square = $length^{2}$ . According to question:

area of square = $length^{2}$

area of triangle = 43.5 ft

total area = 52.5 ft.

Total area = area(square+triangle)

⇒ $43.5 + (Length)^{2} = 52.5$

⇒ $(Length)^{2} = 52.5- 43.5$

⇒ $(Length)^{2} = 9$

⇒ $(Length) = \sqrt{9}$

⇒ $Length= 3$

Therefore, the length of each side of the square is 3 ft.