Question

find the area of the figure. round to the nearest hundredths when necessary.
29.8 ft
28 ft
13 ft
answer attempt 1 out of 2
additional solution no solution

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = length\times width\). Here, the length is \(29.8\) ft and the width is \(13\) ft. So, \(A_{rectangle}=29.8\times13 = 387.4\) square - feet.

Step2: Calculate the area of the right - triangle

The formula for the area of a right - triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base is \(28\) ft and the height is \(13\) ft. So, \(A_{triangle}=\frac{1}{2}\times28\times13=14\times13 = 182\) square - feet.

Step3: Calculate the area of the shaded region

The area of the shaded region \(A = A_{rectangle}-A_{triangle}\). Substitute the values: \(A = 387.4-182\).

Answer:

\(205.4\) square - feet