Question

below is a scale drawing of a parking lot. the dimensions of the outer rectangle are 9 inches by 6 inches. the length of the longer side of the actual parking lot is 36 feet. 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?

Explanation:

Step1: Find scale factor

Scale factor $= \frac{\text{Actual longer side}}{\text{Drawing longer side}} = \frac{36\ \text{ft}}{9\ \text{in}} = 4\ \text{ft/in}$

Step2: Calculate actual shorter side

Actual shorter side $= \text{Drawing shorter side} \times \text{Scale factor} = 6\ \text{in} \times 4\ \text{ft/in} = 24\ \text{ft}$

Step3: Calculate actual parking lot area

Area $= \text{Longer actual side} \times \text{Shorter actual side} = 36\ \text{ft} \times 24\ \text{ft} = 864\ \text{sq ft}$

Answer:

For A: 24 feet
For B: 864 square feet