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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.
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Solution
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
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