The width of a rectangle is the length minus 7 units. The area of the rectangle is 8 units. What is the length, in units, of th

Question

The width of a rectangle is the length minus 7 units. The area of the
rectangle is 8 units. What is the length, in units, of the rectangle?

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Thu Giang 3 years 2021-08-06T00:21:14+00:00 1 Answers 94 views 0

Answers ( )

  1. thuhuong
    0
    2021-08-06T00:22:45+00:00
    Reply

    Answer:

    8 units

    Step-by-step explanation:

    here’s your solution

    => let the length of rectangle be X

    => then width = x – 7

    => area = 8units

    =>> area = length*width

    => area = x (x-7) = 8

    => x^2 – 7 = 8

    => now, x^2 – 7x – 8 = 0

    => factories the above equation by middle term split

    => x^2 – 7x – 8

    => x^2 – 8x + x – 8

    => take the common

    => x(x – 8) + 1(x – 8)

    => (x + 1) (x – 8)

    neglect (x + 1) because this will in negative for X

    => x – 8 = 0

    => x = 8

    =>so, x = 8

    =>length = 8 units

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