The length of a rectangle is 2 cm less than 4 times its width. If its perimeter is 36 cm, what is its area?

Question

The length of a rectangle is 2 cm less than 4 times its width. If its
perimeter is 36 cm, what is its area?

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Orla Orla 5 years 2021-08-29T23:12:28+00:00 2 Answers 31 views 0

Answers ( )

    0
    2021-08-29T23:13:50+00:00

    Answer:

    L=4W-2

    P=2L+2W

    36= 2(4W-2)+2W

    36= 8W-4 +2W

    36= 10W-4

    36+4=10W

    40=10W

    40/10=W

    W=4

    L=4(4)-2

    L=14

    AREA =L(W)

    AREA = 4X14

    AREA =48 cm

    0
    2021-08-29T23:14:10+00:00

    Answer:

    Step-by-step explanation:

    L=4W-2\\ \\ P=2(L+W)\\ \\ 2(4W-2+W)=36\\ \\ 5W-2=18\\ \\ 5W=20\\ \\ W=4,\ L=14\\ \\ A=4(14)=56cm^2

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