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find the area of the shape. (sides meet at right angles.)

Question

find the area of the shape.
(sides meet at right angles.)

Explanation:

Step1: Divide the shape into two rectangles

The left - hand rectangle has dimensions \(4\) ft by \(2\) ft. The area of a rectangle is \(A = l\times w\). So, \(A_1=4\times2 = 8\) square feet.

Step2: Calculate the dimensions of the right - hand part

The length of the right - hand part: \(1 + 3+1=5\) ft, and the width is \(2\) ft. Using the area formula \(A = l\times w\), \(A_2 = 5\times2=10\) square feet.

Step3: Sum the areas of the two parts

The total area \(A=A_1 + A_2\). So, \(A=8 + 10=18\) square feet.

Answer:

\(18\)