Question

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and length of this rectangle?

Answer 1

`Width = 2(1)/(4)cm`

`Length=5(5)/(12) cm`

Explanation:

Data from the question;

Perimeter of a rectangle is
`15(1)/(3)` cm

Length is
`3(1)/(6)` cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is
`x+3(1)/(6)` cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

`15(1)/(3)= 2 ( x + (x+3(1)/(6)))`

`15(1)/(3)=2(2x+3(1)/(6))`

Thus;

`15(1)/(3)=4x+6(1)/(3)`

`4x=9\\x=2(1)/(4)`

Therefore;

`Width = 2(1)/(4)cm`

`Length = x + 3(1)/(6)`

`=2(1)/(4)+3(1)/(6)`

`=5(5)/(12) cm`

Therefore; the length is
`5(5)/(12)` cm while the width is
`2(1)/(4)` cm