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.

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