The perimeter of a rectangle is 46 meters. If the width is 15 % of the length, find the dimensions of the rectangle?

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Answer 1 · 2017-10-10T18:13:27

20 meters by 3 meters

The formula for perimeter of a rectangle is:

#2l+2w# where #l=#length and #w=#width

We also know that the width is #15%# of the length or:

#w=0.15l#

Combining these two equations and using the fact that #P=46#:

#2l+2(0.15l)=46#

Solve for #l#:

#2l+.3l=46#
#2.3l=46#
#l=20#

So the length is #20# meters

Plug #20# back in for #l#

#w=0.15(20)#
#w=3#

So the width is #3# meters