Help please......

Question

A homeowner wishes to put a fence around a space in her yard to create a dog pen. The space that she wants to fence in is shown below where each unit on thegraph represents one foot.

How many feet of fencing will the homeowner need to build the dog pen?

A 52

B 54

C 38+ 10 square root 2

B 38+ 4 square root 2

Answer 1

fencing needed is the perimeter. If it's a square dog pen, then sqr52 = one side. 4sqr52 = needed fencing

if 54 is the area fenced, with a square dog pen, 4sqr54 is needed

if 38+10sqr2 is the area, 4sqr(38+10sqr2) is needed

if 38+4sqr2 is the area, 4sqr(38+4sqr2) is needed

if it's not a square, the numbers are minimums needed

A. about 28.8 feet needed

B about 29.4 feet needed

C about 28.9 feet

D about 26.4 feet

If it's a rectangle, but not a square you need more

You could have a circular dog pen, which would allow for less fencing and the least possible fencing.

for 52 square feet, A = pir^2 where r= sqr(52/pi) Perimeter = 2pir = 2pi(sqr52/pi) = about 25.5 feet needed