A rectangular pool has a perimeter of 34 m. If a concrete border of width 2 m was laid around the pool, then the perimeter around the outer section of the concrete would be
Question
A rectangular pool has a perimeter of 34 m. If a concrete border of width 2 m was laid around the pool, then the perimeter around the outer section of the concrete would be
Solution
The perimeter of a rectangle is given by the formula 2*(length + width). If a concrete border of width 2m is laid around the pool, it means that the length and the width of the pool each increase by 2m on both sides.
So, the new length is (length + 4) and the new width is (width + 4).
Therefore, the new perimeter is 2 * [(length + 4) + (width + 4)] = 2 * (length + width) + 16.
Given that the original perimeter is 34m, the new perimeter would be 34m + 16m = 50m.
So, the perimeter around the outer section of the concrete would be 50m.
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