Question

what is the area, in square meters, of the shaded part of the rectangle below? 3m 7m 6m answer attempt 3 out of 100

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = length\times width\). Here, \(length = 6m\) and \(width = 7m\), so \(A_{rectangle}=6\times7 = 42m^{2}\).

Step2: Calculate the area of the un - shaded triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). The base of the triangle is \(6m\) and the height is \(7 - 3=4m\). So \(A_{triangle}=\frac{1}{2}\times6\times4= 12m^{2}\).

Step3: Calculate the area of the shaded part

The area of the shaded part \(A = A_{rectangle}-A_{triangle}\). Substitute the values: \(A = 42-12=30m^{2}\).

Answer:

\(30\)