Question

Rashad is considering two designs for a garden. In Design 1 he would use fencing to surround a square plot of land that has an area of 1,296 square feet. In Design 2 he would divide a plot of land into two rectangular sections, each 15 feet by 36 feet, and surround the plot with fencing, as well as place fencing along the dividing line of the two sections.
Which plan would cost less in fencing? Explain.

A. Design 1, because it requires 12 fewer feet of fencing than Design 2
B. Design 1, because it requires 24 fewer feet of fencing than Design 2
C. Design 2, because it requires 12 fewer feet of fencing than Design 1
D. Design 2, because it requires 24 fewer feet of fencing than Design 1

The ANSWER IS B all of the answer i found online were wrong when I was doing the quiz ...being a helping hand

Answer 1

We know that

see the attached figure to better understand the problem

design 1
the perimeter of a square=4*b
where 
b is the length side
area of a square=b²
area=1296 ft²
so
1296=b²
b=√1296----> b=36 ft

the perimeter of a square (design 1)=4*b----> 4*36-----> 144 ft

design 2

the perimeter of design 2=15*4+36*3----> 168 ft

design 1 require 144 ft of fence
design 2 require 168 ft of fence
design 2 > design 1
design 2-design 1=168 ft-144 ft------> 24 ft

therefore

the answer is the option
B. Design 1, because it requires 24 fewer feet of fencing than Design 2