Question

find the area of this irregular shape. hint: area of a triangle: a = bh ÷ 2 a = ? ft² find the area of triangle 1. 10 ft 6 ft 6 ft 4 ft 4 ft

Explanation:

Step1: Calculate the area of the left triangle

The base \( b = 4\) ft and the height \( h = 6\) ft. Using the formula \(a=\frac{bh}{2}\), we have \(a_1=\frac{4\times6}{2}\).

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Step2: Calculate the area of the middle rectangle

The length \(l = 10\) ft and the width \(w=6\) ft. Using the formula \(a = lw\), we have \(a_2=10\times6=60\).

Step3: Calculate the area of the right triangle

The base \(b = 4\) ft and the height \(h = 6\) ft. Using the formula \(a=\frac{bh}{2}\), we have \(a_3=\frac{4\times6}{2}\).

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Step4: Calculate the total area

The total area \(A=a_1 + a_2+a_3\). Substitute \(a_1 = 12\), \(a_2 = 60\), and \(a_3=12\) into the formula.

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Answer:

\(84\)