Question

question
what is the area, in square meters, of the shaded part of the rectangle below?
10 m
17 m
13 m

Explanation:

Step1: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A = length\times width\). Here, \(length = 13m\) and \(width=17m\). So, \(A_{rectangle}=13\times17 = 221m^{2}\).

Step2: Calculate the area of the white - triangle

The base of the triangle \(b = 13m\), and the height \(h=(17 - 10)=7m\). The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). So, \(A_{triangle}=\frac{1}{2}\times13\times7=\frac{91}{2}=45.5m^{2}\).

Step3: Calculate the area of the shaded region

The area of the shaded region \(A = A_{rectangle}-A_{triangle}\). Substitute the values: \(A = 221- 45.5=175.5m^{2}\).

Answer:

\(175.5\) square meters