Question

find the area of this irregular shape. a = ? ft² hint: area of a triangle a = bh + 2 find the area of the triangle.

Explanation:

Step1: Find 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: Find the area of the triangle

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

Step3: Find the total area

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

Answer:

\(150\)