Question

a parking lot has a length of 32 meters and a width of 24 meters. arianna made a scale drawing of the parking lot using a scale of $\frac{1}{2}$ inch = 4 meters. label the dimensions of the scale drawing.

Explanation:

Step1: Calculate length of scale - drawing

We know the scale is $\frac{1}{2}$ inch = 4 meters. The actual length of the parking - lot is 32 meters. Let the length of the scale - drawing be $l$. We set up a proportion: $\frac{\frac{1}{2}\text{ inch}}{4\text{ meters}}=\frac{l}{32\text{ meters}}$. Cross - multiplying gives $4l=\frac{1}{2}\times32$. Then $4l = 16$, and $l = 4$ inches.

Step2: Calculate width of scale - drawing

The actual width of the parking - lot is 24 meters. Let the width of the scale - drawing be $w$. Using the scale $\frac{1}{2}$ inch = 4 meters, we set up the proportion $\frac{\frac{1}{2}\text{ inch}}{4\text{ meters}}=\frac{w}{24\text{ meters}}$. Cross - multiplying gives $4w=\frac{1}{2}\times24$. Then $4w = 12$, and $w = 3$ inches.

Answer:

Length: 4 inches
Width: 3 inches