Answer:
188
Explanation:
Let the width be represented by x
Since length is 10 m more than the width, the length is (x+10) m
The area is given by product of length by width
x(x+10)=2184
[tex]x^{2}+10x=2184[/tex]
[tex]x^{2}+10x-2184=0[/tex]
By factorization, two numbers whose product is -2184 and their sum is 10 are 52 and -42
x(x-42)+x(x+52)=0
x=42 or -52
Since width can't be a negative number, x=42 m
Length=x+10=42+10=52
Perimeter=2(l+w)=2(52+42)=188 m
