Question

If the length of a rectangle in 5 units more than its breadth, and its area is 85cm². Find its length and breadth.

Answer 1

Let l = length of rectangle, b = breadth of rectangle.

Given, l = b + 5

Area = l x b = (b + 5) x b = 85

$b^2 + 5b - 85 = 0\\b = \frac{-5+\sqrt{25+340} }{2} = 7.05\\ \\l=b+5 = 12.05$