Question

find the area of the figure. hint: separate into regular shapes and combine the areas! a = ? ft² area formulas b×h, (b×h)/2

Explanation:

Step1: Calculate triangle area

The base of the triangle $b = 8$ ft and height $h=9$ ft. Using the formula $A_{\triangle}=\frac{b\times h}{2}$, we have $A_{\triangle}=\frac{8\times9}{2}= 36$ $ft^{2}$.

Step2: Calculate rectangle area

The length of the rectangle $l = 26$ ft and width $w = 15$ ft. Using the formula $A_{rect}=b\times h$ (where $b$ is length and $h$ is width), we get $A_{rect}=26\times15 = 390$ $ft^{2}$.

Step3: Calculate total area

Add the area of the triangle and the rectangle. $A = A_{\triangle}+A_{rect}=36 + 390=426$ $ft^{2}$.

Answer:

$426$