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janes backyard has cement and grass. find the area of the part with cem…

Question

janes backyard has cement and grass. find the area of the part with cement. (sides meet at right angles.) square meters

Explanation:

Step1: Calculate the area of the large rectangle

The formula for the area of a rectangle is \(A = length\times width\). The length of the large rectangle is \(6\) meters and the width is \(6\) meters. So the area \(A_1=6\times6 = 36\) square meters.

Step2: Calculate the area of the grass - part (small rectangle)

The length of the grass - part (small rectangle) is \(4\) meters and the width is \(2\) meters. Using the area formula \(A = length\times width\), we get \(A_2 = 4\times2=8\) square meters.

Step3: Calculate the area of the cement - part

The area of the cement - part \(A=A_1 - A_2\). Substitute \(A_1 = 36\) and \(A_2 = 8\) into the formula: \(A=36 - 8=28\) square meters.

Answer:

\(28\)