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

Answer 1

`Let~the~length~of~rectangle~be~'l'~and~its~width~be~'b'.\\According ~to ~question,\\l:b=11:3\\or, (l)/(b) =(11)/(3) \\or, l = (11b)/(3)\\Also,\\Perimeter~of~the~rectangle=308\\or, 2(l+b)=308\\or, l+b=154\\or, (11 b)/(3)+b =154 \\or, (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.`