Questions: The diagonals of this rhombus are 7 kilometers and 30 kilometers. What is the area of the rhombus?

The diagonals of this rhombus are 7 kilometers and 30 kilometers.

What is the area of the rhombus?
Transcript text: The diagonals of this rhombus are 7 kilometers and 30 kilometers. What is the area of the rhombus?
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Solution

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Solution Steps

Step 1: Formula for the area of a rhombus

The area of a rhombus is given by the formula: Area = (1/2) * d1 * d2 where d1 and d2 are the lengths of the diagonals.

Step 2: Substitute the given values

In this case, we are given that the diagonals are 7 km and 30 km. So, d1 = 7 km and d2 = 30 km. Substituting these values into the formula, we get: Area = (1/2) * 7 km * 30 km

Step 3: Calculate the area

Area = (1/2) * 210 km² Area = 105 km²

Final Answer

\\(\boxed{105}\\)

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