Perimeter of a rectangle is 60 cm. The length is four times the width What are the length and the width of the rectangle?

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Answer 1 · 2016-12-14T01:47:08

The length of the rectangle is 24cm and the width is 6cm.

Let #L =# the length of the rectangle and #W = #the width.

If the length is four times the width, then #L=4W#

The formula for perimeter #P# is #L+L+W+W=P# or

#2L+2W=P#

Substituting #4W# for #L# and #60# for #P#

#2(4W)+2W=60#

#8W+2W=60#

#10W=60#

#(10W)/10=60/10#

#W=6 cm#

#L=4W=4(6)=24cm#