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11 July, 13:04

A rectangular table top has a perimeter of 24 inches and an area of 35 square inches. find its dimensions.

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Answers (2)
  1. 11 July, 13:23
    0
    7*5=35

    7 (2) + 5 (2) = 24

    The dimensions are 7 and 5 inches.
  2. 11 July, 13:26
    0
    Hello:

    let : x the lenght y : the widith

    the perimeter is; 2 (x+y) and the area is : xy

    so the system : 2 (x+y) = 24

    xy = 35

    x+y = 12 ... (1)

    xy = 35 ... (2)

    by (1) : y = 12-x

    subsct in (2) : (12-x) x = 35

    x²-12x+35 = 0

    (x-7) (x-5) = 0

    x-7=0 or x-5 = 0

    x=7 or x=5

    if : x=7 y = 12-7 = 5

    if : x=5 y = 12-5 = 7

    but : x > y

    conclusion : one solution (7, 5).

    The dimensions are 7 and 5 inches.
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