A rectangular carpet has an area of 60 sq.m. If its diagonal and longer side together equal 5 times the shorter side the length of the carpet is :
We have : lb = 60 and `sqrt(l^2 + b^2) + l = 5b.`
Now `, l^2 + b^2 = (5b - l)^2`
`rArr 24b^2 - 10lb -= 0`
`rArr 24b^2 - 600 = 0`
`rArr b^2 = 25`
`rArr b = 5`
`:.` l = `(60/5) `m = 12 m.
so length of the carpet = 12 m.
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