Surface area of composite figures with a square and triangle

The length of each side of square is 5ft.

Step-by-step explanation:

Given:

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.

Now, to find the length of each side of square.

Now, we need to get the area of the square first:

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.