The length of a rectangle is greater than the breadth by 18cm. If the length and breadth are increased by 6cm, then the area by 168. Find the length and breadth?
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let breadth be x cm
therefore length = x + 18 cm
(x + 6)(x + 18 + 6) = (x)(x+18) + 168
(x + 6)(x + 24) = x² + 18x +168
x² + 6x + 24x + 144 = x² + 18x + 168
x² + 30x + 144 = x² + 18x + 168
12x = 24
x = 2
x + 18 = 20
therefore the length is 20 cm and the breadth is 2 cm.
therefore length = x + 18 cm
(x + 6)(x + 18 + 6) = (x)(x+18) + 168
(x + 6)(x + 24) = x² + 18x +168
x² + 6x + 24x + 144 = x² + 18x + 168
x² + 30x + 144 = x² + 18x + 168
12x = 24
x = 2
x + 18 = 20
therefore the length is 20 cm and the breadth is 2 cm.
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