Question

A composite figure is formed by combining a square and a triangle. Its total area is 49.5 ft. The area of the

triangle is 33.5 ft. What is the length of each side of the square? Complete the explanation.
The area of the square is
it?, so each side of the square is
ft.

Answer 1

The length of each side of square is 5ft.

Explanation:

A composite figure is formed by combining a square and a triangle. Its total area is 32.5ft squared.

The area of the triangle is 7.5ft squared.Area of combined figure - area of triangle = area of square.

32.5 ft squared - 7.5 ft squared = 25 ft squared.

So, area of square = 25 ft squared.

Now, by putting the formula for getting the length of each side:

Let the side = a.

Area of square = 25 ft squared

Area of square = a²

Using square root both sides we get:

So, the side = 5 ft.

Therefore, the length of each side of square is 5ft.