The length of a rectangular field is 20 m more than its breadth. If the perimeter of the field is 280 m , what is its length?

Asked by ameetjain75 | 12th Feb, 2017, 06:17: PM

Expert Answer:

begin mathsize 16px style Let space the space breadth space of space the space rectangle space be space apostrophe straight x apostrophe space straight m.
So comma space the space length space of space the space rectangle space is space left parenthesis straight x plus 20 right parenthesis space straight m.
Since space the space perimeter space of space the space rectangle space equals space 2 left parenthesis length plus breadth right parenthesis
rightwards double arrow 280 equals 2 left parenthesis straight x plus 20 space plus thin space straight x right parenthesis
rightwards double arrow 280 equals 2 left parenthesis 2 straight x plus 20 right parenthesis
rightwards double arrow 280 equals 4 straight x plus 40
rightwards double arrow 4 straight x equals 240
rightwards double arrow straight x equals 60
So comma space the space length equals straight x plus 20 equals 60 plus 20 equals 80 space straight m
end style

Answered by Rebecca Fernandes | 12th Feb, 2017, 07:07: PM