Question

The area of this rhombus is 20 square miles. One of its diagonals is 10 miles. What is the length of the missing diagonal?

Answer 1

Answer: 4 miles

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Work Shown:

`d_1 = \text{ one of the diagonals} = 10\\\\d_2 = \text{ the other diagonal}= \text{x}\\\\A = \text{ area of the rhombus} = 20\\\\A = (d_1*d_2)/(2)\\\\20 = \frac{10\text{x}}{2}\\\\20*2 = 10\text{x}\\\\40 = 10\text{x}\\\\\text{x} = 40/10\\\\\text{x} = 4`

The other diagonal is 4 miles long.