Question

which value is closest to the area of the following figure, in square inches? 48 in² 117 in² 36 in² 88 in²

Explanation:

Step1: Divide figure into parts

The figure can be divided into a rectangle and a triangle.

Step2: Calculate rectangle area

The rectangle has length $6$ in and width $5$ in. Area of rectangle $A_{r}=l\times w = 6\times5=30$ in².

Step3: Calculate triangle area

The triangle has base $6$ in and height $6$ in. Area of triangle $A_{t}=\frac{1}{2}\times b\times h=\frac{1}{2}\times6\times6 = 18$ in².

Step4: Calculate total area

Total area $A = A_{r}+A_{t}=30 + 18=48$ in².

Answer:

$48$ in²