SOLUTION: A walkway along the diagonal of a square park is 4/5 miles long. What is the area of the park? Lets use Yards as our measure 1 mile = 1760 yards thus a diagonal of 4/5 miles = 1408

Question 568136: A walkway along the diagonal of a square park is 4/5 miles long. What is the area of the park? Lets use Yards as our measure 1 mile = 1760 yards thus a diagonal of 4/5 miles = 1408 yards
Using a^2 +b^2 = c^2 and knowing that the park is square informs us that
the sides are the same. Thus a^2 + a^2 = (the length of the digonal)^2
that is 2a^2 =(1408)^2 or a =(1982464/2)^.5 {raising a quantity to the .5 power is the same as taking the square root.}= 995.606 yards or 5.66/10 of a mile as the length of each side.
To get the area use the formula a = lxw = 995.606 x 995.606 = 991231.307 yards yards^2 Since 1 mile = 1760 yards, 1 mile^2 = 3097600 yards^2 so 991231.307/3097600=.32 miles is the area
Answer by jcmhs77(1) (Show Source): You can put this solution on YOUR website!

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