Question

The length of a rectangle is five inches less than three times the width.the perimeter is 22 inches.Find the length and width

Answer 1

The length and width is
`7\, \text{inches}\, \text{and}\, 4\, \text{inches}`

Explanation:

The length of a rectangle is five inches less than three times the width.

`l=3w-5`

The perimeter is 22 inches.

`P=2(l+w)\\22=2(3w-5+w)\\11=-5+4w\\4w=11+5\\w=(16)/(4)\\w=4\, \text{inches}\\\\l=3(4)-5\\l=12-5\\l=7\, \text{inches}`