Answer: The correct answer is option A: 88 square inches
Step-by-step explanation: The figure upon careful observation has been divided into three parts. One part is a rectangle with dimensions;
Length = 16
Width = 4
The area of the rectangle now becomes;
Area = L x W
Area = 16 x 4
Area = 64
Looking at the two triangles, we can see that they are identical. The dimensions given are;
Base = 8
Height = 3
(The height is derived by 7 inches - 4 inches)
Area of the triangle is now determined as follows;
Area = 1/2(b x h)
Area = 1/2(8 x 3)
Area = 1/2(24)
Area = 12.
Remember that we have two identical triangles, hence the area of both of them equals 12 x 2 and that equals 24
Therefore, the area of the entire figure is calculated as;
Area = 64 + 24
Area = 88 square inches
