Question

The formula for the area of a rhombus is A = d1d2, where d1 and d2 are the lengths of the diagonals. Which are equivalent equations? Check all that apply. d1 = 2Ad2 d1 = d2 = d2 = d2 = 2Ad1

Answer 1

Options 1 and 4 are the correct answers.

Explanation:

Answer 2

The options of this question are:

1.
`d_(1)=2Ad_(2)`

2.
`d_(1)= (2A)/(d_(2))`

3.
`d_(2)= (d_(1))/(2A)`

4.
`d_(2)= (2A)/(d_(1))`

5.
`d_(2)= 2A{d_(1)}`

The formula for area of rhombus is given by:

A =
`(1)/(2) d_(1) d_(2)` where
`d_(1)` and
`d_(2)` are the diagonals of rhombus.

We have to determine the equivalent expressions.

Since, A =
`(1)/(2) d_(1) d_(2)`

Multiplying both sides of the above equation by 2, we get

2A =
`d_(1) d_(2)`

So,
`d_(1) = (2A)/(d_(2))` and
`d_(2) = (2A)/(d_(1))`

Hence, Option 1 and 4 are the equivalent expressions.