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1-82. write four different fractions that are equal to 1. use your calculator to check that you are correct. homework help 1-83. a rectangular park is 150 yards on one side and 125 yards on the other. homework help a. if debbie walks around the park two times, how far does she walk? sketch a figure and show your work. b. if debbie wanted to walk 1,000,000 yards, how many times would she have to walk around the park?
Step1: Calculate the perimeter of the rectangular park
The formula for the perimeter of a rectangle is $P = 2(l + w)$, where $l = 150$ yards and $w=125$ yards. So $P=2(150 + 125)=2\times275 = 550$ yards.
Step2: Find the distance Debbie walks in two rounds
If she walks around the park two - times, the distance $d$ she walks is $d = 2\times P$. Substituting $P = 550$ yards, we get $d=2\times550 = 1100$ yards.
Step3: Calculate the number of times she needs to walk to cover 1,000,000 yards
Let the number of times be $n$. We know that the distance per round is $P = 550$ yards and the total distance is $1000000$ yards. So $n=\frac{1000000}{550}=\frac{100000}{55}=\frac{20000}{11}\approx1818.18$. Since she can't walk a fraction of a time, she needs to walk 1819 times.
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a. 1100 yards
b. 1819 times