Answer :
The length of the rectangle is 26ft.
What is the perimeter of a rectangle?
- The sum of all sides of a rectangle is the perimeter of the rectangle.
- A rectangle has two equal lengths and two equal widths.
- Therefore, the perimeter 'P' of a rectangle is the sum of two equal lengths and two equal widths.
- That is, 'P=2l+2w' where 'l' is the length and 'w' is the width of the rectangle.
What is the length of the rectangle with perimeter 96ft and the width 22ft?
The perimeter of a rectangle is, P = 96 ft.
The width of the rectangle is, w = 22ft.
As we know the perimeter P of a rectangle is given by the formula, P=2l+2w
Therefore, substituting the values in the equation we get,
P = 2l + 2w
96 = 2l + 2*22
96 = 2l + 44
2l = 96 - 44
2l = 52
l = 52/2
l = 26
Hence, the length of the rectangle is 26ft.
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