Question

The entire rectangle below has an area of 44 cm?Find the area of the shaded triangle.Be sure to include the correct unit in your answer.

Answer 1

Solution:

Given:

$A=44cm^2$

Using the diagonal property of a rectangle,

The two diagonals bisect each other and divide the rectangle into two equal parts.

Hence, the diagonal divides the area of the rectangle into two equal parts. Each part is a triangle.

Thus,

$\begin{gathered} Area\text{ of the entire rectangle}=44cm^2 \\ Area\text{ of the shaded triangle is half of the area of the entire rectangle.} \\ A=\frac{44}{2} \\ A=22cm^2 \end{gathered}$

Therefore, the area of the shaded triangle is 22 square centimeters.