Question

the shaded triangle has an area of 24 in². find the area of the entire rectangle. be sure to include the correct unit in your answer.

Explanation:

Step1: Analyze the shaded triangle

The shaded triangle is a right triangle with legs equal to the rectangle’s length and width. Its area is $\frac{1}{2} \times length \times width = 24\ \text{in}^2$.

Step2: Calculate rectangle area

The area of the rectangle is $length \times width$. Since $\frac{1}{2} \times (length \times width) = 24$, multiply both sides by 2: $length \times width = 48$.

Answer:

48 in²