Question

question 11 of 25 what is the area of the polygon below? a. 147 square units b. 120 square units c. 111 square units d. 156 square units

Explanation:

Step1: Divide the polygon

Divide the polygon into a rectangle and a smaller rectangle. The larger rectangle has length 13 and width 12 - 3=9. The smaller rectangle has length 10 and width 3.

Step2: Calculate area of larger rectangle

The area formula for a rectangle is $A = lw$. For the larger rectangle, $l = 13$ and $w = 9$, so $A_1=13\times9 = 117$.

Step3: Calculate area of smaller rectangle

For the smaller rectangle with $l = 10$ and $w = 3$, $A_2=10\times3=30$.

Step4: Calculate total area

The total area of the polygon $A = A_1+A_2=117 + 30=147$.

Answer:

A. 147 square units