Question

The width of a rectangular room is `4/7`of its length, x, and its perimeter is y. Write an equation connecting x and y. Find the length of the room when the perimeter is 4400 cm.

Answer 1

Length of the rectangle = x

Width of the rectangle  = `4/7` x

Hence its perimeter is given by 

2` ( x + 4/7 x )` = y 

2`(( 11x) /7)` =y

`(22x)/7` = y

Again it is given that the perimeter is 4400cm. 

Hence

`(22x)/7` = 4400

x = 1400

Length of the rectangle = 1400 cm = 14 m