The length of a rectangular garden is 8 feet more than its width. Its
area is 240 square feet. Find the length and width of the garden.
Answers
Answer:
L = length
W = width
.
L = W+8
.
P = perimeter
P = 2(L+W)
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P =184 (given)
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substitute L=W+8 in the perimeter equation
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2( (W+8) + W ) = 184
(W+8) +W = 92
2W + 8 = 92
2W = 84
W = 42 ft
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L = W+8
L = 42+8
L = 50 ft
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Always check your work.
In this case check the perimeter.
2(L+W) = ?
2(50+42) = 184
Correct.
.
Re-read the question to make sure you answer it.
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Oh, it asks for the area in square feet.
OK.
.
A = area
A = L*W
A = 50 ft * 42 ft
A = 2100 sq ft
Answer:
Let the breadth of the rectangular garden be a
∴ Length of rectangular garden = 8 + a
Area of rectangle = 240 feet
Area of rectangle = l × b
240 = 8 + a × a
240 = 8 + a²
240 - 8 = a ²
232 = a ²
∴ a = √232
a = 15.23 ( up to 2 decimal places)
∴ Length = 15.23 feet
∴ Breadth = 15.23 × 8 = 121.84 feet