Question

find the area of this irregular shape. a = ? ft²

Explanation:

Step1: Calculate the area of the first rectangle

The formula for the area of a rectangle is \(A = l\times w\). For the rectangle with length \(14\) ft and width \(10\) ft, \(A_1=14\times10 = 140\) \(ft^{2}\).

Step2: Calculate the area of the second rectangle

For the rectangle with length \(14\) ft and width \(4\) ft, \(A_2 = 14\times4=56\) \(ft^{2}\).

Step3: Calculate the area of the third rectangle

For the rectangle with length \(8\) ft and width \(6\) ft, \(A_3=8\times6 = 48\) \(ft^{2}\).

Step4: Calculate the area of the fourth rectangle

Assume the fourth rectangle has the same dimensions as the third - like a common problem setup (if we consider symmetry or standard problem design, since the problem is about an irregular shape made of rectangles). \(A_4=8\times6 = 48\) \(ft^{2}\).

Step5: Sum up the areas

\(A=A_1 + A_2+A_3+A_4\). Substitute the values: \(A=140 + 56+48+48\).

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Answer:

\(292\)