Question

Sarah would like to build a marvelous rectangular frame. The dimensions of the frame are

unknown, but the perimeter of the frame must be 34 yards. The length of the frame is 3
more than the width. What are the dimensions of the frame?

Answer 1

The dimensions of the frame are 10 yards and 7 yards

Explanation:

Let us assume the length of the frame to be
`l` and the breadth to be
`b`.

The perimeter is given to be 34 yards. The perimeter of a rectangle is given by
`2(l+b)`.

Also, it is given that length is 3 more than the breadth. So,
`l=b+3`

`34=2(l+b)`

Substituting
`l=b+3` in this equation,

`17=2b+3`

`2b=14`

`b=7`

`l=10`

∴ The length of the frame is 10 yards and breadth is 7 yards.