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.

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 ......
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.

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