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

Answer:

28 feet

Step-by-step 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:

$\frac{4}{3} = \frac{x}{21}$

$x=\frac{4}{3} *21$

$x=28$

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

Answer 2

Answer:

28 ft

Step-by-step explanation:

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

$\frac{L}{S}=\frac{4}{3}$

Now putting 21 into S, we solve for L:

$\frac{L}{21}=\frac{4}{3}\\3L=4*21\\3L=84\\L=\frac{84}{3}=28$

Hence, length of longer side is 28 ft.