Question

5.
a. 17.5 ft²
b. 49 ft²
c. 35 ft²
d. 9.5 ft²

Explanation:

Step1: Recall the area formula for 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

From the figure, the base \(b = 14\) ft and the height \(h=5\) ft.

Step3: Substitute values into the formula

Substitute \(b = 14\) and \(h = 5\) into \(A=\frac{1}{2}\times b\times h\). So \(A=\frac{1}{2}\times14\times5\).
First, calculate \(14\times5 = 70\). Then \(\frac{1}{2}\times70=35\).

Answer:

C. \(35\space ft^{2}\)