Mathematics: Mr. townes created a 2-foot wide garden path around a circular garden. the radius of the garden is 7 feet. he wants to cover the path in stones. if mr. townes needs 1 bag of stones for every 5 square feet of path, how many bags of stones will he need 5o cover his garden path?

Mr. townes created a 2-foot wide garden path around

axell13965

05.01.2022

The bags of stones Mr. Townes will need are 20 bags.

Given:

The radius of the circular garden is 7 feet.

The width of the circular path around the park is 2 feet.

To find:

The bags of stones needed by Mr. Townes to cover the garden path.

Solution:

The radius of the circular garden = 7 ft

The width of the circular path around the park = 2 ft

The radius of the inner circle = r = 7 ft

The radius of the outer circle = r' = 7 ft + 2 ft = 9 ft

The area of the inner circle = A

$A=\pi r^2\\\\A=3.14\times (7 ft)^2=153.94 ft^2$

The area of the outer circle = A'

$A'=\pi r'^2\\\\A'=3.14\times (9 ft)^2=254.47ft^2$

The area of the circular garden path = C

$C = A' - A \\\\= 254.47ft^2-153.94 ft^2 =100.53ft^2$

Mr. Townes needs 1 bag of stones for every 5 square feet of a path, then for 100.53 square feet he will need:

$=\frac{1}{5}\times 100.53=20.106bags\approx 20bags$

The bags of stones Mr. Townes will need are 20 bags.

Learn more about the unitary method here:

link

0,0(0 оценок)

fowers7187

30.04.2021

Step-by-step explanation:

-14m-7m+1=-7m+1

then

-14m-7m+7m=1-1

-14m=0

m=0

0,0(0 оценок)