The ratio of length to width on a rectangle is 11:3. The perimeter of the figure is 308. what is the width of the rectangle

Question

The ratio of length to width on a rectangle is
11:3. The perimeter of the figure is 308. what is the
width of the rectangle

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Gerda 7 months 2021-07-26T12:56:56+00:00 1 Answers 0 views 0

Answers ( )

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    2021-07-26T12:57:58+00:00

    Answer:

    Let~the~length~of~rectangle~be~'l'~and~its~width~be~'b'.\\According ~to ~question,\\l:b=11:3\\or, \frac{l}{b} =\frac{11}{3} \\or, l = \frac{11b}{3}\\Also,\\Perimeter~of~the~rectangle=308\\or, 2(l+b)=308\\or,  l+b=154\\or, \frac{11 b}{3}+b =154  \\or, \frac{11b+3b}{3} =154\\or, 14b = 154(3)\\or, b=33 units\\So, ~the~width~of~rectangle~is~33units.

    Alternative method:

    Let~the~length~and~width~of~the~rectangle~be~11x~and~3x.\\Given,\\Perimeter~of~the~rectangle = 308\\or, 2(11x+3x)=308\\or, 14x = 154\\or, x = 11\\Now,\\Width~of~the~rectangle,3x = 3(11)=33 units\\So,~the~width~of~the~rectangle~is~33units.

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