Question

A composite figure is formed by combining a square and a triangle. Its total area is 50.5 ft2. The area of the triangle is 41.5 ft2. What is the length of each side of the square? Complete the explanation.
The area of the square is ft2, so each side of the square is ft.

Answer 1

The irregular figure can be broken into a triangle and a rectangle as shown with the dashed line.

The length of b, the base of the triangle, is

✔ 2 2/3

ft.

The area of the triangle is

✔ 4

ft2.

The area of the rectangle is

✔ 6 2/3

ft2.

The area of the irregular figure is

✔ 10 2/3

ft2.

Answer 2

Answer:

Length of each side of square is 3 feet

Step-by-step explanation:

Given

Total area of the combined figure is 50.5 ft2

Total area of the combined figure = Area of Square + Area of triangle

Area of Square = Total area of the combined figure -Area of triangle

Area of Square = $50.5 -41.5 = 9$ ft2

Let x be the side of a square, then its area would be x * x

$x^2 = 9\\x = 3$

Length of each side of square is 3 feet