Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet wide, all around the lawn.

Create a diagram that shows Kamila’s rectangular lawn and the gravel border. Assign variables to any unknown sides and label the diagram.
Use your diagram to determine how many square feet of the gravel border will surround the lawn.
Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border? (Hint: dimensions must be in terms of the same unit before you can calculate the volume)
D. A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border? (Hint: the volume of the border must be in terms of a cubic yard before you can calculate the cost)

In your final answers, include all formulas, equations, and calculations necessary to determine the correct answers.

Part 1) Create a diagram that shows Kamila’s rectangular lawn and the gravel border. Assign variables to any unknown sides and label the diagram

see the attached figure

Part 2)Use your diagram to determine how many square feet of the gravel border will surround the lawn

area of the border=[162*92]-[150*80]----> 14904-12000-----> 2904 ft²

Part 3) Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border?

we know that
1 ft-------> 12 in
x--------> 2 in
x=2/12------> x=0.17 ft

volume of gravel needed=area of the border*deep of the gravel
volume of gravel needed=2904*0.17----> 493.68 ft³

Part 4)A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border?

1 yd³--------> 27 ft³
x---------> 493.68 ft³
x=493.68/27-----> 18.28 yd³

if 1 yd³----------> cost $30
18.28 yd³------> x
x=18.28*30------> x=$548.53

the answer Part 4) is
$548.53

sammonkey0704 sammonkey0704 · Answer 2 · 2021-06-22T22:30:31+02:00

Answer:

Part 1) Create a diagram that shows Kamila’s rectangular lawn and the gravel border. Assign variables to any unknown sides and label the diagram

see the attached figure

Part 2)Use your diagram to determine how many square feet of the gravel border will surround the lawn

area of the border=[162*92]-[150*80]----> 14904-12000-----> 2904 ft²

Part 3) Kamila decided that the depth of the gravel needs to be 2 inches. What is the total volume of gravel needed for the border?

we know that

1 ft-------> 12 in

x--------> 2 in

x=2/12------> x=0.17 ft

volume of gravel needed=area of the border*deep of the gravel

volume of gravel needed=2904*0.17----> 493.68 ft³

Part 4)A large bag of colored rock contains a cubic yard and costs $30. What is the total cost of the rocks needed for the border?

1 yd³--------> 27 ft³

x---------> 493.68 ft³

x=493.68/27-----> 18.28 yd³

if 1 yd³----------> cost $30

18.28 yd³------> x

x=18.28*30------> x=$548.53

the answer Part 4) is

$548.53

Step-by-step explanation: