Question

what is the area of the figure? a. 52 square inches b. 152 square inches c. 192 square inches d. 272 square inches reset ronald williams, id******67 growth: math 6+ mi 2010 1.1 question # 10

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into two rectangles. One rectangle has dimensions 10 in by 8 in and the other has dimensions 6 in by (12 - 8)=4 in.

Step2: Calculate area of first rectangle

The area of a rectangle is given by $A = l\times w$. For the first rectangle with length $l = 10$ in and width $w = 8$ in, $A_1=10\times8 = 80$ square - inches.

Step3: Calculate area of second rectangle

For the second rectangle with length $l = 6$ in and width $w=(12 - 8)=4$ in, $A_2=6\times4 = 24$ square - inches.

Step4: Calculate total area

The total area of the figure $A = A_1+A_2$. So, $A=80 + 72=152$ square - inches.

Answer:

B. 152 square inches