A landscape architect used the entire length of an 80-foot 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. (Drawings not to scale.)
Exhit
Perimeter 80 feet
Circumference - 80 feet
What is the area of the circle?
A 125.6 ft2
B. 2,041.8 ft2
c. 215.2 ft
D. 506.5 ft2

A square has 4 sides so 80/4= 20ft
area= 20^2
area=400 square ft

2*3.14*r = 80
r = 80/6.28
r=12.74 ft

area= A = 3.14*12.74^2
A = 509.6 sq/ft

if you wanted to find the difference:

509.6 - 400 = 109.6 sq/ft more in the circle

Answer Link

ashishdwivedilVT ashishdwivedilVT · Answer 2 · 2022-04-05T14:00:20+02:00

The area of the circle with a perimeter of 80 feet is 509.31 square feet.

The entire length of the rope = 80 feet

So, the perimeter of the flower bed = 80 feet

Since the flower bed is in a square shape

So, the perimeter of the square = The entire length of the rope

The perimeter of the square = 80 feet

Suppose the side of the square is a

So, 4a = 80

a =20

So, the area of the square = 20² = 400 square feet.

What is the area of a circle?

The area of a circle with a radius r is πr².

Similarly, when the flower bed is in a circular shape

The perimeter of the circle = 80

Suppose the radius of the circle is r

So, [tex]2\pi r =80\\\\[/tex]

[tex]r= 12.73 feet[/tex]

Area of circle = [tex]\pi r^{2}[/tex]

Area of circle = 509.31 square feet.

Therefore, the area of the circle with a perimeter of 80 feet is 509.31 square feet.

To get more about circles visit:

https://brainly.com/question/24375372