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Sagot :
The dimension of the base of the rectangular building is 340 x 135ft.
Perimeter of Rectangle:
The definition of perimeter of the rectangle is the total length or distance of its boundary on all sides.
The general formula to calculate the Perimeter of a rectangle is,
P = 2(l + w)
Where,
l represents the length of the rectangle
w represents the width of the rectangle.
Given,
The building in a city has a rectangular base. the length of the base measures 65ft less than three times the width.
The perimeter of this base is 910ft.
Now, we need to find the dimensions of the rectangular base.
According to the given details, the values of
L = 3W - 65
W = W
P = 910
Apply the values on the formula, then we get,
=> 910 = 2 * (L + W)
=> 910/2 = (L + W)
=> 455 = L + W
Apply the value of L,
=> 475 = 3W - 65 + W
=> 475 + 65 = 4W
=> 540 = 4W
=> 540/4 = W
=> W = 135
Apply the value of W as 135, in order to get the value of L,
=> L = 3*135 - 65
=> L = 405
=> L = 340
Therefore, the dimension of the rectangular base is 340 x 135 ft.
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