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They both have the same variable, so use the communitive property and there is your answer!
The dimensions of the rectangle are 150 m and 75 m respectively.
Let x be the length of the rectangular area and y be the width of the rectangular area.
Its area A = xy
Given that its area is 11,000 m², xy = 11000 m² (1)
Also, since the bounding side of the building is 150 m long and the fencing is 300 m, the perimeter of the rectangular area is P = 150 m + 300 m = 450 m.
Also, the perimeter of the rectangular area is P = 2(x + y)
Since P = 450 m
2(x + y) = 450 m
x + y = 225 m (2)
Since the bounding side of the building represents one dimension of the rectangle, x = 150 m.
Substituting x into (2), we get the other dimension
x + y = 225
150 + y = 225
y = 225 m - 150 m
y = 75 m
So, the dimensions of the rectangle are 150 m and 75 m respectively.
Learn more about dimensions of a rectangular area here:
brainly.com/question/16818606
