A rectangle is twice as long as it is wide, its perimeter is 108cm a: what is the width? b: calculate the area of the rectangle

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Answer 1 · 2018-04-16T18:54:32

#w=18cm, A=648cm^2#

Recall that the perimeter #p# of a rectangle is given by

#p=2l+2w#, where #l# is the length, #w# is the width.

For our rectangle, we're told that #p=108, l=2w,# so,

#108=2(2w)+2w#

#108=6w#

Solve for #w:#

#w=108/6=18#

The rectangle is #18cm# wide.

Now, the area #A# is given by

#A=lw.# We know #w=18, l=2w=2(18)=36,# so

#A=18(36)=648cm^2#