Question

what is the area, in square feet, of the shape below?

Explanation:

Step1: Recall the formula for the area of a triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\).

Step2: Identify the base and height

Here, the base \(b = 7.9\) ft and the height \(h=5.6\) ft.

Step3: Substitute the values into the formula

\(A=\frac{1}{2}\times7.9\times5.6\). First, calculate \(7.9\times5.6=(8 - 0.1)\times5.6=8\times5.6-0.1\times5.6 = 44.8-0.56 = 44.24\). Then, \(A=\frac{1}{2}\times44.24\).

Step4: Calculate the final value

\(A = 22.12\) square feet.

Answer:

\(22.12\) square feet