Question

use formulas to find the area of the figure.
a. 72 ft²
b. 17,280 ft²
c. 240 ft²
d. 312 ft²

Explanation:

Step1: Analyze the figure

The figure is composed of a rectangle and a triangle. First, find the base of the triangle: \(12 + 12 = 24\) ft, height of the triangle is \(6\) ft. The rectangle has length \(24\) ft (since \(12+12\)) and width \(10\) ft.

Step2: Calculate area of triangle

Area of triangle formula: \(A_{triangle}=\frac{1}{2}\times base\times height\). Substitute values: \(\frac{1}{2}\times24\times6 = 72\) \(ft^2\).

Step3: Calculate area of rectangle

Area of rectangle formula: \(A_{rectangle}=length\times width\). Substitute values: \(24\times10 = 240\) \(ft^2\).

Step4: Total area

Add areas of triangle and rectangle: \(72 + 240 = 312\) \(ft^2\).

Answer:

D. \(312\space ft^2\)