Question

ccg > chapter 2 > lesson 2.2.3 > problem 2 - 86. calculate the area of the shaded region at right. use the appropriate units.

Explanation:

Step1: Identify shapes

The figure is a rectangle with a triangle cut - out.

Step2: Calculate rectangle area

The area formula for a rectangle is $A_{rect}=l\times w$. Given length $l = 17$ inches and width $w = 8$ inches. So, $A_{rect}=17\times8 = 136$ square inches.

Step3: Calculate triangle area

The area formula for a triangle is $A_{tri}=\frac{1}{2}\times b\times h$. The base $b$ and height $h$ of the triangle are the same as the length and width of the rectangle (assuming the triangle has the same base and height as the rectangle's dimensions). So, $A_{tri}=\frac{1}{2}\times17\times8=68$ square inches.

Step4: Calculate shaded area

The area of the shaded region $A$ is the area of the rectangle minus the area of the triangle. $A = A_{rect}-A_{tri}=136 - 68=68$ square inches.

Answer:

68 square inches