Justin wants to use 196 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?
a. 50x48; 2,400 ft^2 (squared)
b. 45x53; 2,385 ft^2 (squared)
c. 97x99; 9,603 ft^2 (squared)
d. 49x49; 2,401 ft^2 (squared)

Question

Justin wants to use 196 ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?
a. 50x48; 2,400 ft^2 (squared)
b.  45x53; 2,385 ft^2 (squared)
c. 97x99; 9,603 ft^2 (squared)
d. 49x49; 2,401 ft^2 (squared)

anonymous · Answer

I'll give you a hint, a square has the largest area of any rectangle if their perimeters are equal, so try to make a square.

anonymous · Answer

So it'd be 196x4? since there's four sides?

anonymous · Answer

No no, it'd be 196 divided by 4, read carefully, you have 196 ft of fencing, so you can't use anymore, it's like you were given a string and you want to make a circle out of it, you can't stretch the string, you're limited to how long the string is, and the circle you make from that string is the largest circle you could ever make with it.

anonymous · Answer

oh okay! So it'd be d?

anonymous · Answer

Why yes it would! Good job

anonymous · Answer

thank you so much!!(: