SOLUTION: A landscape architect used the entire length of an 80ft rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay o

Question 198388: A landscape architect used the entire length of an 80ft rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle.
Perimeter of square = 80 feet Circumference of circle = 80 feet
How many square feet greater is the area of one of the flower beds than the other? (use 3.14 for pi)

This looks to be from a textbook, but no reference are made on the paper.
Thank you!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A landscape architect used the entire length of an 80ft rope to lay out a flower
bed in the shape of a square. In another area, he used the entire length of the
same rope to lay out a second flower bed in the shape of a circle.
Perimeter of square = 80 feet Circumference of circle = 80 feet
How many square feet greater is the area of one of the flower beds than the other? (use 3.14 for pi)
:
Area of the square: 20 * 20 = 400 sq/ft
:
Find the radius of the circle using the circumference:
2*3.14*r = 80
r =
r = 12.74 ft
:
Find the area of the circle using 13.03 as the radius
A = 3.14*12.74^2
A = 509.6 sq/ft
;
:
509.6 - 400 = 109.6 sq/ft more in the circle
RELATED QUESTIONS
A landscape architect used the entire length of an 80-foot rope to lay out a flower bed... (answered by ankor@dixie-net.com)

A landscape architect is planning a circular flower bed that will be surrounded by a... (answered by mananth,greenestamps)

13. Mr Fu asked a garden designer to make a square flower bed. The cost for paving the... (answered by ankor@dixie-net.com)

a landscape architect designed a flower bed in a shape of a triangle with side lengths... (answered by Earlsdon)

an architect designs a rectangular flower bed, such as the width is exactly two thirds... (answered by jorel1380)

a landscape architect has included a rectangular flower bed measuring 9ft by 5ft in her... (answered by ankor@dixie-net.com)

I can't find the right answer I don't think to this problem. A landscape architect has... (answered by Earlsdon)

the perimeter of a square flower bed is 26 yards. find the length of one side of the... (answered by sofiyac)

The length of a rectangular flower bed is 40cm and breadth is 10cm.The length of a square (answered by mananth)