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28 August, 02:43

The sides of a rectangular field are

36x+2) m and 2 (x+2) m long, respectively.

If the perimeter is 90 m, find the length of

each side.

+1
Answers (1)
  1. 28 August, 02:54
    0
    Step-by-step explanation

    Perimeter of a rectangle = 2 (length + breadth)

    90m = 2{ (36x+2) + (2 (x+2) }

    Opening the inner brackets,

    90 = 2{36x + 2+2x + 4}

    90 = 2{38x + 6}

    Open the brackets

    90 = 76x + 12

    Collect like terms

    90 - 12 = 76x

    78=76x

    Divide 78 by the coefficient of x

    x = 78:76

    x = 1.03m (2d. p)

    Substitute the value of x into the expressions for the two sides of the rectangle

    36x+2 = (36*1.03) + 2 = 37.08+2=39.08m

    2 (x+2) = 2 (1.03+2) = 2 (3.03) = 2*3.03 = 6.06m

    The approximate values of the two sides of d rectangular field are 39.08m and 6.06m
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