new dimensions:
.7(15) and .7(12)
new area = 10.5(8.4) = 88.2 yards^2
path = 15(12) - 88.2
=appr ......
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.
2 answers
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.
3 answers