Asked by Tyler
Kate’s garden measures 15 yards by 12 yards. In order to make a path around it, she will need to reduce the size of her garden. The dimensions of the smaller garden will be related by a scale factor of 0.7.
What is the area of the path around the garden in square yards? Round your answer to the nearest square yard.
What is the area of the path around the garden in square yards? Round your answer to the nearest square yard.
Answers
Answered by
Reiny
new dimensions:
.7(15) and .7(12)
new area = 10.5(8.4) = 88.2 yards^2
path = 15(12) - 88.2
=appr ......
.7(15) and .7(12)
new area = 10.5(8.4) = 88.2 yards^2
path = 15(12) - 88.2
=appr ......
Explanation
Area of current garden:
15 yd×12 yd=180 yd2
Dimensions of new garden scaled down by a factor of 0.7:
15yd×0.7=10.5yd12yd×0.7=8.4yd
Area of new garden:
10.5yd×8.4yd=88.2yd2
To find the area of the path find the difference between the current garden area and the new garden:
180yd2−88.2yd2=91.8yd2
Rounded to the nearest square yard, the area of the path is 92 yd².
© 2018 TenMarks Education, LLC. All rights reserved.
Area of current garden:
15 yd×12 yd=180 yd2
Dimensions of new garden scaled down by a factor of 0.7:
15yd×0.7=10.5yd12yd×0.7=8.4yd
Area of new garden:
10.5yd×8.4yd=88.2yd2
To find the area of the path find the difference between the current garden area and the new garden:
180yd2−88.2yd2=91.8yd2
Rounded to the nearest square yard, the area of the path is 92 yd².
© 2018 TenMarks Education, LLC. All rights reserved.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.