The dimensions are 18 m by 12 m
We can solve this by using quadratic equations.
First let's see what is given in the question
The perimeter of the rectangle = 60 m = 2(l+b)
The area of the rectangle = 216 m = l×b
2(l+b) = 60
l+b = 60÷2 = 30
b = 30-l...........eq.1
area, l×b= 216................................eq.2
applying eq.1 in eq.2
l×(30-l) = 216
30l-l² = 216
30l-l²-216 = 0
multiplying by -1
l²-30l+216 = 0
So while solving this quadratic equation
Sum of two number will be -30 and Product will be 216
such two numbers are -12 and -18
Since negative values cannot be sides of the rectangles the sides are 18m and 12m
For further references about quadratic equations, please refer
https://brainly.com/question/1863222
