Question

35) Use a formula to find the area of the figure.a15 in.7 in.20 in.

Answer 1

Given

height = 7 inches

base = 20 inches

Recall the formula for finding the area of the triangle

`\begin{gathered} A_{\text{triangle}}=(1)/(2)bh \\ \text{where} \\ b\text{ is the base} \\ h\text{ is the height} \end{gathered}`

Substitute the given dimensions of the triangle and we have

`\begin{gathered} A=(1)/(2)bh \\ A=(1)/(2)(20\text{ in})(7\text{ in}) \\ A=(1)/(2)\cdot140\text{ in}^2 \\ A=70\text{ in}^2 \\ \\ \text{Therefore, the area of the triangle is }70\text{ in}^2. \end{gathered}`