Question

a parking lot has a length of 32 meters and a width of 24 meters. emilio made a scale drawing of the parking lot using a scale of 1/2 inch = 4 meters. label the dimensions of the scale drawing.

Explanation:

Step1: Calculate length of scale - drawing

Given the scale $\frac{1}{2}$ inch = 4 meters. The actual length is 32 meters. Let the length of the scale - drawing be $x$ inches. We set up a proportion: $\frac{\frac{1}{2}\text{ in}}{4\text{ m}}=\frac{x\text{ in}}{32\text{ m}}$. Cross - multiply: $4x = 32\times\frac{1}{2}$, so $4x = 16$, and $x = 4$ inches.

Step2: Calculate width of scale - drawing

Let the width of the scale - drawing be $y$ inches. The actual width is 24 meters. Using the scale $\frac{1}{2}$ inch = 4 meters, we set up a proportion: $\frac{\frac{1}{2}\text{ in}}{4\text{ m}}=\frac{y\text{ in}}{24\text{ m}}$. Cross - multiply: $4y=24\times\frac{1}{2}$, so $4y = 12$, and $y = 3$ inches.

Answer:

Length: 4 in, Width: 3 in