here are some lenghts, widths, and areas of a garden whose perimeter

Question

here are some lenghts, widths, and areas of a garden whose perimeter is 40 feet

Answer 1

perimeter =40

for rectanglues

maximum area = (40/4)^2= 100 square feet when the garden is square shaped

minimum area = 0

0</= area </=100

sides can range from 0 to infinity

0<length<infinity

0<width <infinity

for polygons that approach circles or circles

perimeter= circumference=pid = 2pir =40

r=radius = 40/2pi =20/pi

Max area then = pir^2= pi(20/pi)^2= 400/pi square feet

= about 400/3.141593 = about 127.32 sq. ft.

0<Area<127.32

a few possible dimensions for rectangular gardens are

10' by 10'

15' by 5'

19' by 1'