Question

what is the area of this figure? square inches

Explanation:

Step1: Divide the figure into rectangles

We can divide the given figure into 3 rectangles.

Step2: Calculate area of first rectangle

The first rectangle has dimensions 7 in by 6 in. Area $A_1 = 7\times6=42$ square - inches.

Step3: Calculate area of second rectangle

The second rectangle has dimensions 3 in by 2 in. Area $A_2 = 3\times2 = 6$ square - inches.

Step4: Calculate area of third rectangle

The third rectangle has dimensions 6 in by 4 in. Area $A_3=6\times4 = 24$ square - inches.

Step5: Calculate total area

The total area $A = A_1+A_2+A_3=42 + 6+24=72$ square - inches.

Answer:

72