We are given from the condition a rhombus with the lengths of its diagonals and they are equal to 10 and 7, respectively.
And we need to find the area of the rhombus.
To do this, we will apply the formula for calculating the area of a rhombus through the diagonals:
S = 1/2 * d1 * d2.
The area of the rhombus is half the product of the lengths of the diagonals.
We need to plug the values into the formula and perform the calculation:
S = 1/2 * 10 * 7 = 5 * 7 = 35 square units the area of a rhombus given by the lengths of the diagonals 10 and 7 units.
Answer: The area of a rhombus is 35 square units.
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