Question

1. perry needs to put in a new lawn. his lot is a rectangle with a length of 120 feet and a width of 100 feet. the house is rectangular and measures 50 feet by 40 feet. his driveway is rectangular and measures 20 feet by 30 feet, as shown. find the area of perry’s lawn.

Explanation:

Step1: Calculate lot area

The area of a rectangle is $A = l\times w$. For the lot with $l = 120$ feet and $w = 100$ feet, $A_{lot}=120\times100 = 12000$ square - feet.

Step2: Calculate house area

For the house with $l = 50$ feet and $w = 40$ feet, $A_{house}=50\times40=2000$ square - feet.

Step3: Calculate driveway area

For the driveway with $l = 20$ feet and $w = 30$ feet, $A_{driveway}=20\times30 = 600$ square - feet.

Step4: Calculate lawn area

The lawn area $A_{lawn}=A_{lot}-A_{house}-A_{driveway}$. So $A_{lawn}=12000 - 2000-600=9400$ square - feet.

Answer:

9400 square feet