a right triangle is removed from a rectangle to create the shaded region shown below. find the area of the…

Explanation:

Step1: Calculate rectangle area

The area formula for a rectangle is $A = l\times w$. Here, $l = 7$ cm and $w = 6$ cm. So $A_{rectangle}=7\times6 = 42$ $cm^{2}$.

Step2: Calculate triangle area

The area formula for a right - triangle is $A=\frac{1}{2}\times b\times h$. Here, $b = 5$ cm and $h = 2$ cm. So $A_{triangle}=\frac{1}{2}\times5\times2= 5$ $cm^{2}$.

Step3: Calculate shaded area

The area of the shaded region is the area of the rectangle minus the area of the triangle. So $A_{shaded}=A_{rectangle}-A_{triangle}=42 - 5=37$ $cm^{2}$.

Answer:

$37$ $cm^{2}$