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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?

Respuesta :

TaeKwonDoIsDead

Answer:

28 ft


Step-by-step explanation:

Let longer side of rectangle be [tex]L[/tex] and the shorter side be  [tex]S[/tex], thus we can write the ratio:

[tex]\frac{L}{S}=\frac{4}{3}[/tex]


Now putting 21 into S, we solve for L:

[tex]\frac{L}{21}=\frac{4}{3}\\3L=4*21\\3L=84\\L=\frac{84}{3}=28[/tex]


Hence, length of longer side is 28 ft.

alinakincsem

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:

[tex]\frac{4}{3} = \frac{x}{21}[/tex]

[tex]x=\frac{4}{3} *21[/tex]

[tex]x=28[/tex]

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


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