Question

1. draw a rectangle that is $1\frac{1}{2}$ inches long and 1 inch wide.

a. what is the perimeter of the rectangle?
b. what is the area of the rectangle?

Explanation:

Step1: Convert the mixed number to an improper fraction

The length \(l = 1\frac{1}{2}=\frac{1\times2 + 1}{2}=\frac{3}{2}\) inches, and the width \(w = 1\) inch.

Step2: Calculate the perimeter of the rectangle

The formula for the perimeter of a rectangle is \(P=2(l + w)\).
Substitute \(l=\frac{3}{2}\) and \(w = 1\) into the formula:

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Step3: Calculate the area of the rectangle

The formula for the area of a rectangle is \(A=l\times w\).
Substitute \(l=\frac{3}{2}\) and \(w = 1\) into the formula:

$$A=\frac{3}{2}\times1=\frac{3}{2}=1\frac{1}{2}$$

Answer:

a. The perimeter of the rectangle is \(5\) inches.
b. The area of the rectangle is \(1\frac{1}{2}\) square inches.