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The ratio of the length of a rectangle to its width is 8 to 5. If the longer side of the rectangle is 20 ft, what is the length of its shorter side?


A: 14.5 ft


B: 12.5 ft


C: 19.5 ft


D: 10.5 ft

Respuesta :

N1ghtKi113r
8/5 = 20/X
Cross Multiply
8x = 100
Divide
X = 12.5

B. 12.5 ft
SociometricStar

Answer:

length of the shorter side is 12.5 ft.

B is correct

Step-by-step explanation:

Let x be the length and y be the width of the rectangle.

Then, we have

[tex]\frac{x}{y}={8}{5}...(i)[/tex]

Now, it has been given that the longer side of the rectangle is 20 ft.

Hence, x = 20

Plugging this value in equation (i)

[tex]\frac{20}{y}={8}{5}[/tex]

Solve this equation for y

[tex]y={20\times 5}{8}\\\\y=\frac{25}{2}\\\\y=12.5[/tex]

Thus, length of the shorter side is 12.5 ft.

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