Question

the width of the rectangular drawing is one - third the length plus 3 inches. what is the perimeter of the drawing? write and evaluate an expression. 12 in.

Explanation:

Step1: Define variables

Let the length $l = 12$ inches. The width $w$ is one - third the length plus 3 inches, so $w=\frac{1}{3}l + 3$.

Step2: Calculate the width

Substitute $l = 12$ into the width formula: $w=\frac{1}{3}\times12+3=4 + 3=7$ inches.

Step3: Use the perimeter formula

The perimeter formula for a rectangle is $P = 2(l + w)$. Substitute $l = 12$ and $w = 7$ into the formula: $P=2(12 + 7)$.

Step4: Evaluate the expression

First, calculate the sum inside the parentheses: $12+7 = 19$. Then multiply by 2: $P=2\times19=38$ inches.

Answer:

38 inches