Question

14 10. below is a scale drawing of a parking lot. the dimensions of the outer rectangle are 5 inches by 3 inches. the length of the longer side of the actual parking lot is 25 feet. (scale factor not given) for a, what is the length, in feet, of the shorter side of the actual parking lot? for b, what is the area, in square feet, of the actual parking lot? 5 in → 25 feet 3 in ? a) set - up proportion and solve (in/feet) : b) multiply (actual length) (actual width)

Explanation:

Step1: Find the scale factor

We know that 5 inches on the drawing corresponds to 25 feet in actual. So the scale factor (in feet per inch) is calculated as $\frac{25\ \text{feet}}{5\ \text{inches}} = 5\ \text{feet per inch}$.

Step2: Calculate the shorter side length (For A)

The shorter side on the drawing is 3 inches. Using the scale factor, the actual length is $3\ \text{inches} \times 5\ \text{feet per inch} = 15\ \text{feet}$.

Step3: Calculate the area (For B)

The actual longer side is 25 feet and the actual shorter side is 15 feet (from Step 2). The area of a rectangle is given by $A = \text{length} \times \text{width}$. So the area is $25\ \text{feet} \times 15\ \text{feet} = 375\ \text{square feet}$.

Answer:

For A: 15 feet
For B: 375 square feet