The map of a walking trail is drawn on a coordinate grid with three points of interest. the trail starts at r(−3, 2) and goes to s(2, 2) and continues to t(2, −5). the total length of the walking trail is units. (input whole numbers only.)

12 units

Step-by-step explanation:

Point R is (-3,2) and point S is (2,2)

distance between them is

RS==5

ST==7

Total distance is RS+ST=5+7=12 units

Answer

Find out the the total length of the walking trail .

To prove

Formula

As given

The trail starts at R(−3, 2) and goes to S(2, 2) and continues to T(2, −5).

RS = 5 units

As given

S(2, 2) and continues to T(2, −5).

Now

ST = 7 units

Therefore

Total length of the trail = RS + ST

                                      =  5 units + 7 units

                                      = 12 units

Therefore the total length of the trail is 12 units.

17 bags.

Step-by-step explanation:

We can think of the area of the path, as the difference between the area of a circle with a radius of 9ft (the 7 ft of the circular garden plus the 2ft of the path) and the area of a circle with a radius of 7ft.

Remember that the area of a circle with radius R is:

R = pi*R^2

Where pi = 3.14

Then the area of the path will be:

A = 3.14*(9ft)^2 - 3.14*(7ft)^2 = 100.48 ft^2

Now, we know that Mr. Tomas needs 1 bag of stones for every 6 square feet of path.

Then let's see how many times we have 6ft^2 in the 100.48 ft^2 of the area, this is equal to the quotient between  100.48 ft^2 and 6ft^2

N = (100.48 ft^2)/( 6ft^2) = 16.75

This means that we will need 16.75 bags of stones, but we can not have a 0.75 of a bag, then we should round up our number to 17.

Then Mr. Tomas will need 17 bags of stones to cover his garden path.