Length, l = 10 m, breadth = 8 m
Step-by-step explanation:
Let l be the length and b be the width of the rectangle.
The area of a rectangle is given by :
A = lb
80 = lb ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
36 = 2(l+b)
18 = (l+b) (2)
We need to solve equation (1) and (2). On solving we get :
l = 10, b = 8
So, the dimensions of the shop is 10 m and 8 m.