The composite figure has an area equal to 52 square units.
In this problem, we must calculate the area of a composite figure, which is calculated by subtracting the areas of two small triangles from the area of a square.
The area formulas for the square and triangle are as follows:
Square
A = l²
Where l is the side length in units.
Triangle
A = 0.5 · b · h
Where:
b - The base in units.
h - Height expressed in units.
We will now calculate the area of the composite figure:
A = A' - 2 · A''
A = 8² - 2 · 0.5 · 3 · 4
A = 64 - 12
A = 52
The composite figure has a surface area of 52 square units.
Complete question:
Find the area of the following figure if a line drawn from the side of length 8 to the side of length 2 is 8 units long. 48 square units, 46 square units, 50 square units, or 52 square units