Question

1. find n. then find the area. perimeter = 86 inches 25 in n

Explanation:

Step1: Use the perimeter formula for a rectangle

The perimeter formula for a rectangle is \(P = 2(l + w)\), where \(P\) is the perimeter, \(l\) is the length, and \(w\) is the width. Given \(P = 86\) inches and \(w = 25\) inches. Substitute into the formula: \(86=2(n + 25)\).

Step2: Solve for \(n\)

First, divide both sides of the equation \(86 = 2(n + 25)\) by 2: \(\frac{86}{2}=n + 25\), which simplifies to \(43=n + 25\). Then subtract 25 from both sides: \(n=43 - 25\), so \(n = 18\) inches.

Step3: Use the area formula for a rectangle

The area formula for a rectangle is \(A=l\times w\). Substitute \(l = 18\) inches and \(w = 25\) inches into the formula: \(A=18\times25\).

Step4: Calculate the area

\(A = 450\) square inches.

Answer:

\(n = 18\) inches, Area \(= 450\) square inches.