Question

a right triangle is removed from a rectangle to create the shaded region shown below. find the area of the
be sure to include the correct unit in your answer.
español

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = l\times w\). Here, \(l = 10\) ft and \(w=6\) ft. So, \(A_{rectangle}=10\times6 = 60\) square feet.

Step2: Calculate the area of the right - triangle

The formula for the area of a right - triangle is \(A=\frac{1}{2}\times b\times h\). Here, \(b = 2\) ft and \(h = 4\) ft. So, \(A_{triangle}=\frac{1}{2}\times2\times4=4\) square feet.

Step3: Calculate the area of the shaded region

The area of the shaded region \(A = A_{rectangle}-A_{triangle}\). Substitute the values: \(A=60 - 4=56\) square feet.

Answer:

56 square feet