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Answer :
Final answer:
To find the height of a rectangle with a perimeter of 38.4 kilometers and a base of 11 kilometers, we use the perimeter formula for a rectangle and solve for height, resulting in a height of 8.2 kilometers.
Explanation:
The student is asking to find the height of a rectangle given the perimeter and the base. The perimeter (P) of a rectangle is given by the formula P = 2 * (base + height). Since we know the perimeter is 38.4 kilometers and the base is 11 kilometers, we can set up the equation 38.4 km = 2 * (11 km + height). To find the height (h), we would rearrange the equation to solve for h, which gives us:
- 38.4 km = 2 * (11 km + h)
- 38.4 km = 22 km + 2h
- 38.4 km - 22 km = 2h
- 16.4 km = 2h
- h = 16.4 km / 2
- h = 8.2 km
Therefore, the height of the rectangle is 8.2 kilometers.
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