The perimeter of a rectangular concrete patio is 70 metres. The patio is 22 metres long. How wide is it?
Question
The perimeter of a rectangular concrete patio is 70 metres. The patio is 22 metres long. How wide is it?
Solution
The formula for the perimeter of a rectangle is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width.
Given: P = 70 metres l = 22 metres
We can substitute these values into the formula:
70 = 2*22 + 2w 70 = 44 + 2w
To solve for w, we subtract 44 from both sides of the equation:
70 - 44 = 2w 26 = 2w
Finally, we divide both sides by 2 to solve for w:
w = 26 / 2 w = 13 metres
So, the width of the patio is 13 metres.
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