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Textbook Pg. 79, #17

**My Question:**

*Some parks contain fenced gardens. Suppose that it costs $80 to build each metre of fence, including materials and labour. *
*a) How much does it cost to enclose a square with an area of 120 m**²? Express your answer to the nearest dollar.*

*b) Predict whether the total cost of enclosing two squares with an area of 60 m**² each is the same as your answer for part a).*

*c) Test your prediction from part b) and describe your findings.*

*part a) The first step is trying to find the square root of 120 by using a calculator. The square root is also the same value as one side of the square garden.*

√120 = 10.95
*Because there are 4 sides in a square, you need to multiply 10.95 by 4.*

*10.95 x 4 = 43.8*

*Then, you need to multiply the number above by $80 to the the final answer.*

*43.8 x $80 = $3504*

*The cost of enclosing a square with an area of 120 m**² is $3504*

*part b) Following the same procedure we used for part a), find the square root of one square with an area of 60 m**²*

√60 = 7.74

7.74 x 4 = 30.96

30.96 x 80 = 2476.8

And because we are finding the area of **two **60 m*² fenced gardens, multiply that previous answer by two.*

*2476.8 x 2 = $4953.6*

*As you can see, the results are *__Not The Same.__

*c) I predicted that the costs for the fenced gardens would not be the same because two 60 m**² squares have a total of 8 sides, and a 120 m**² only has four sides, therefore I knew that the area would of the 60 m**² would be larger because of the greater amount of sides.*

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