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11 November, 10:38

The area of a rectangle is 252 cm², and the length is 3 less than 2 times the width. Find the dimensions of the rectangle.

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  1. 11 November, 10:59
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    21cm, 12cm

    Step-by-step explanation:

    width=x cm

    length=2x-3 cm

    area = 252cm²

    l*b = 252 cm²

    (2x-3) (x) = 252

    2x²-3x = 252

    this is how I did it

    we need to find the nearest square of the number (it should be lesser than the area)

    that is 225, whose square root is 15.

    since there is a coefficient to the x², the value of x would be calculate like this 15 - (2+1) = 15-3 = 12

    x = 12

    we can verify it too,

    2 * (12) ² - 3*12=252

    288-36=252

    252=252

    therefore width is 12 cm and width is 2*12-3 = 24-3 = 21 cm

    verify;

    21*12 = 252

    252=252

    hence the dimensions are 12 am (width) and 21 cm (length).
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