Let's label the width of the backyard as "w":
Perimeter = 2(length + width)
280 = 2(75 + w)
Dividing both sides by 2:
140 = 75 + w
Subtracting 75 from both sides:
65 = w
Now we have both the length and width of the backyard. To find the area, we simply multiply them:
Area = length x width
Area = 75 x 65
Area = 4,875 square feet
Therefore, the area of the rectangular backyard is 4,875 square feet.
A rectangular backyard has a perimeter of 280 feet. The length of the backyard is 75 feet. What is the area of the backyard?
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