Question

1. the length of a rectangle is 3 inches more than its width. if the perimeter is 42 inches, find the dimensions of the rectangle.

Explanation:

Answer:

Let the width of the rectangle be \(x\) inches. Then the length is \(x + 3\) inches.
The perimeter formula of a rectangle is \(P=2(l + w)\). Given \(P = 42\) inches.
\[

$$\begin{align*} 2(x+(x + 3))&=42\\ 2(2x+3)&=42\\ 4x+6&=42\\ 4x&=36\\ x&=9 \end{align*}$$

\]
Width \(x = 9\) inches, length \(x + 3=12\) inches.
Dimensions of the rectangle: length is 12 inches and width is 9 inches.