The area of Kaitlyn's square garden is 345 square feet. One side of the garden is next to a shed. She wants to put a fence around the other three sides of the garden. Find three sets of approximations for the amount of fence it will take. Then determine how much fence she should buy

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The area of the garden is 345 square feet. Since the garden is a square, the area is equal to the length of one side of the garden, squared.

S^2 = 345

To find the length of one side of the garden, take the square root of 345.

S = sqrt(345)

Using a calculator, the square root of 345 can be approximated to the tenths place as 18.6, to the hundredths place as 18.57, or to the thousandths place as 18.574.

Since the fence is around 3 sides of the garden, multiply each side length approximation by 3 to approximate the amount of fence Kaitlyn needs.

3 * 18.6 ft = 55.8 ft

3 * 18.57 ft = 55.71 ft

3 * 18.574 ft = 55.722 ft

So, Kaitlyn should buy 55.722 feet of fence, or 56 feet of fence if it is only sold in whole numbers of feet.

Please let me know if you need any clarification. I'm always happy to answer your questions.

Sep 27th, 2015

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