Question

1. the figure below shows a shaded triangle within a rectangle. find the area, in square centimeters, of the part of the rectangle that is not shaded? (3 points)

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A = l\times w$. Here, the length $l = 8$ cm and the width $w=7$ cm. So, $A_{rectangle}=8\times7 = 56$ $cm^{2}$.

Step2: Calculate triangle area

The area formula for a triangle is $A=\frac{1}{2}\times b\times h$. Here, the base $b = 4$ cm and the height $h = 5$ cm. So, $A_{triangle}=\frac{1}{2}\times4\times5=10$ $cm^{2}$.

Step3: Calculate non - shaded area

The non - shaded area is the area of the rectangle minus the area of the triangle. So, $A = A_{rectangle}-A_{triangle}=56 - 10=46$ $cm^{2}$.

Answer:

46 $cm^{2}$