Question

13 a diagram of a poster board can be seen below. max wants to cover one side of the board in white paint. what area, in square feet, will max need to paint? show all work in the box below.

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A_{rect}=l\times w$. Here, $l = 12$ ft and $w=6$ ft. So $A_{rect}=12\times6 = 72$ square - feet.

Step2: Calculate triangle area

The area formula for a triangle is $A_{tri}=\frac{1}{2}\times b\times h$. Here, $b = 12$ ft and $h = 15$ ft. So $A_{tri}=\frac{1}{2}\times12\times15=90$ square - feet.

Step3: Calculate total area

The total area $A$ of the poster - board is the sum of the area of the rectangle and the area of the triangle. So $A=A_{rect}+A_{tri}=72 + 90=162$ square - feet.

Answer:

162