Answer :
Final answer:
To find the height of the rectangle, use the formula for the perimeter and solve for the width. The height of the rectangle is 20.6 miles.
Explanation:
To find the height of the rectangle, we can use the formula for the perimeter of a rectangle, which is given by P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Since the base is given as 38.4 miles, we can substitute l = 38.4 miles and P = 118 miles into the formula and solve for w.
118 = 2(38.4) + 2w
118 = 76.8 + 2w
2w = 41.2
w = 20.6 miles
Therefore, the height of the rectangle is 20.6 miles.
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Well this is very simple and I will lay it out for you. First you know that one side measures 38.4 and because its a rectangle you now know that there are 2 sides with that same measurement. So if you double 38.4 you get 76.8 and you subtract 76.8 from 118 and you get 41.2 meaning that the other 2 sides added together are 41.2. So then you take 41.2 and divide it by 2 because they are both going to be equal and you get 20.6. The height is 20.6 miles
