An architect design of a rectangle flower garden such that the width is exactly 2/3 of the length. if 2 feet of antique picket fans are used to enclose the garden, find the dimensions of garden. what is the length of the garden and width

Actually Welcome to the Concept of the areas.

Let the length be x and width be y, hence we get the relation as,

2(l+b) = perimeter, here l=x and b =y

2(x+y) = 2 feet, but since y = 2/3x

so we get as,

2(x+(2/3)*x)= 2 ft

===> 2x + (4/3)*x = 2 ft

===> taking the lcm

===> 6x + 4x = 6 ft

===> x = 6/10 = 0.6 ft

so x = 0.6 ft and y = (2/3)*(6/10) = 2/5 ft

hence, x = 3/5 feet and y = 2/5 feet

answer:

c. the third graph

72 is the answer to this problem