Question

The perimeter of a rectangle is 13 cm and its width is `2 3/4` cm. Find its length.

Answer 1

Assume the length of the rectangle to be x cm.
The perimeter of the rectangle = 2 × (length + width)

                                                  = `2 xx (x + 2 3/4)`

                                                  = `2(x + 11/4)`

The perimeter is given to be 13 cm. Therefore,

`2(x + 11/4) = 13`

or `x + 11/4 = 13/2`      ......(Divinding both sides by 2)

or `x = 13/2 - 11/4`

or `x = 26/4 - 11/4`

or `x = 15/4`

or `x = 3 3/4`

The length of the rectangle is `3 3/4` cm.