# Math

A rectangle is 8cm long and b cm broad. Find the range of values of b if the perimeter of the rectangle is not greater than 50 cm and not less than 18 cm.

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1. 18 <= 2(8+b) <= 50
9 <= 8+b <= 25
1 <= b <= 17

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2. 2L + 2b = 18 cm, min.
16 + 2b = 18,
b = 1 cm, min.

2L + 2b = 50 cm, max.
16 + 2b = 50,
b = 17 cm, max.

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