Answer: 36 square meters
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Explanation:
length = L = 2x
width = W = x+3
The order of L and W doesn't matter.
P = perimeter of a rectangle
P = 2(L+W)
P = 2(2x+x+3)
P = 2(3x+3)
P = 6x+6
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Set this equal to the stated perimeter (24 meters) and solve for x.
6x+6 = 24
6x = 24-6
6x = 18
x = 18/6
x = 3
Now we can determine the dimensions of this rectangle.
- L = 2x = 2*3 = 6 meters
- W = x+3 = 3+3 = 6 meters
It turns out this rectangle is also a square since L = W.
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Multiply the length and width to get the area.
A = L*W
A = 6*6
A = 36 square meters
