Question

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

Explanation:

Step1: Recall rectangle perimeter formula

Perimeter $P = 2(l + w)$, where $l=25$, $w=n$, $P=86$

Step2: Substitute values to solve for $n$

$86 = 2(25 + n)$
Divide both sides by 2: $\frac{86}{2} = 25 + n$
$43 = 25 + n$
Subtract 25 from both sides: $n = 43 - 25$
$n = 18$

Step3: Calculate area of the rectangle

Area $A = l \times w = 25 \times n$
Substitute $n=18$: $A = 25 \times 18$

Answer:

$n = 18$ in, Area = 450 square inches