Question

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.​

Answer 1

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