Question

1. how many square inches is the figure below? a. 16 square inches b. 28 square inches c. 32 square inches d. 192 square inches

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A = l\times w$. Here, the length $l = 6$ inches and the width $w = 4$ inches. So the area of the rectangle $A_{rectangle}=6\times4 = 24$ square - inches.

Step2: Calculate triangle area

The area formula for a triangle is $A=\frac{1}{2}\times b\times h$. The base $b = 4$ inches and the height $h = 2$ inches. So the area of the triangle $A_{triangle}=\frac{1}{2}\times4\times2=4$ square - inches.

Step3: Calculate total area

The total area of the figure is the sum of the area of the rectangle and the area of the triangle. $A = A_{rectangle}+A_{triangle}=24 + 4=28$ square - inches.

Answer:

B. 28 square inches