Question

The ratio of the longer side of a rectangle to its shorter side is 4 to 3. If the shorter side of the rectangle is 21ft, what is the length of its longer side?

Answer 1

28 feet

Explanation:

We know that the ratio of the longer side of a rectangle to its shorter side is 4 to 3.

The length of the shorter side of the rectangle is 21ft and we are to find the length of its longer side.

For that, we can use the ratio method:

`(4)/(3) = (x)/(21)`

`x=(4)/(3) *21`

`x=28`

Therefore, the length of the longer side is 28 feet.

Answer 2

28 ft

Explanation:

Let longer side of rectangle be
`L` and the shorter side be
`S`, thus we can write the ratio:

`(L)/(S)=(4)/(3)`

Now putting 21 into S, we solve for L:

`(L)/(21)=(4)/(3)\\3L=4*21\\3L=84\\L=(84)/(3)=28`

Hence, length of longer side is 28 ft.