Question

type the correct answer in each box. the length of a rectangle is 3 inches more than its width. the perimeter of the rectangle is 34 inches. the length of the rectangle is inches, and its width is inches.

Explanation:

Step1: Define variables

Let the width be $w$ inches. Then the length $l = w + 3$ inches.

Step2: Use perimeter formula

The perimeter formula for a rectangle is $P=2(l + w)$. Given $P = 34$ inches, so $34=2((w + 3)+w)$.

Step3: Simplify the equation

First, expand the right - hand side: $34=2(2w + 3)=4w+6$.

Step4: Solve for $w$

Subtract 6 from both sides: $34−6=4w$, so $28 = 4w$. Then divide both sides by 4: $w=\frac{28}{4}=7$ inches.

Step5: Solve for $l$

Since $l=w + 3$, substitute $w = 7$ into the equation: $l=7 + 3=10$ inches.

Answer:

Length: 10, Width: 7