The sides of a rectangle are in the ratio 5:4 and its perimeter is 90 cm.Find its lenth and breath.

Asked by Veermani | 1st Jan, 2017, 07:06: PM

Expert Answer:

begin mathsize 16px style Let space the space common space multiple space between space the space length space and space the space breadth space be space straight x.
So comma space the space length space is space 5 straight x space and space the space breadth space is space 4 straight x.
Given space that space the space perimeter space of space the space rectangle space is space 90 cm.
So comma space 2 left parenthesis 5 straight x space plus space 4 straight x right parenthesis equals 90
rightwards double arrow 10 straight x plus 8 straight x equals 90
rightwards double arrow 18 straight x equals 90
rightwards double arrow straight x equals 5
So comma space the space length space is space 5 left parenthesis 5 right parenthesis equals 25 space cm space and space the space breadth space is space 4 left parenthesis 5 right parenthesis equals 20 space cm.
end style

Answered by Rebecca Fernandes | 1st Jan, 2017, 10:33: PM