Question

find the area of this irregular shape. a = ? ft² hint: area of a triangle a = bh ÷ 2 find the area of the triangle. 20 ft 10 ft 10 ft

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 \(w=10\) ft. So, \(A_{rectangle}=10\times10 = 100\) \(ft^{2}\)

Step2: Calculate the area of the triangle

The formula for the area of a triangle is \(A=\frac{1}{2}bh\). The base \(b = 10\) ft and the height \(h=(20 - 10)=10\) ft. So, \(A_{triangle}=\frac{1}{2}\times10\times10=50\) \(ft^{2}\)

Step3: Calculate the total area

The total area \(A = A_{rectangle}+A_{triangle}\). Substitute the values: \(A=100 + 50\)

Answer:

\(150\) \(ft^{2}\)