Question

the wilson familys back yard is a rectangular plot that has a length of 100 feet and a width of 80 feet. the family planted a garden with a length and width of 60 feet. the family planted a lawn in the remaining area of the back yard, as shown. question: what is the area, in square feet, of the lawn in the wilson familys back yard? 4,400 5,200 5,600 8,000

Explanation:

Step1: Calculate backyard area

The area formula for a rectangle is $A = lw$. The backyard has length $l = 100$ feet and width $w = 80$ feet. So, $A_{backyard}=100\times80 = 8000$ square - feet.

Step2: Calculate garden area

The garden is also a rectangle with length $l = 60$ feet and width $w = 60$ feet. So, $A_{garden}=60\times60=3600$ square - feet.

Step3: Calculate lawn area

The area of the lawn is the area of the backyard minus the area of the garden. So, $A_{lawn}=A_{backyard}-A_{garden}=8000 - 3600=4400$ square - feet.

Answer:

4,400