SOLUTION:
Step 1:
The length of a rectangular garden is 8 feet longer than its width.
If the garden's perimeter is 184 feet.
What is the area of the garden in square feet?
Step 2:
L = length
W = width
L = W+8
P = perimeter
P = 2(L+W)
P =184 (given)
Substitute L=W+8 in the perimeter equation
2( (W+8) + W ) = 184
(W+8) +W = 92
2W + 8 = 92
2W = 84
W = 42 ft ( Width = 8 feet )
L = W+8
L = 42+8
L = 50 ft ( Length = 50 feet )
Always check your work.
In this case, check the perimeter.
2(L+W) = ?
2(50+42) = 184 feet.
CONCLUSION:
Then, the question says:
It asks for the area in square feet.
A = Area
A = L*W
A = 50 ft * 42 ft
A = 2100 sq ft.
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