The area of a square and a rectangle are equal. The length of the rectangle is greater than the length of any side of the square by 5 cm and the breadth is less by 3 cm . Find the perimeter of the rectangle .
Let he length of each side of the square be `x` cm.
hen, length of rectangle = `(x + 5)` cm and its breadth = `(x - 3)` cm
`:.` ` (x + 5) (x - 3) = x^2`
`hArr x^2 + 2x - 15 = x^2`
`hArr x = 15/2`
`:.` Length = `(15/2 + 5)`cm = `25/2` cm , breadth = `(15/2 - 3)`cm = `9/2` cm.
Hence , perimeter = 2( l + b) = `2(25/2 + 9/2)`cm = 34 cm.
Submit Comment/FeedBack