Question

the perimeter of the larger rectangle on the figure below is 54 feet. a. write a linear equation in standard form satisfying the given condition. assume that all measurements shown in each figure are in feet. b. graph the equation in part (a). a. the equation is (type your answer in standard form.)

Explanation:

Step1: Find the length and width of the larger rectangle

The width of the larger rectangle is \(x + 5+5=x + 10\), and the length of the larger rectangle is \(y+7\).

Step2: Use the perimeter formula

The perimeter formula of a rectangle is \(P = 2(l + w)\). Given \(P=54\), we substitute \(l=y + 7\) and \(w=x + 10\) into the formula:

$$
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$$

Answer:

\(x + y=10\)