Question

The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.d1d2, where d1 and d2 are the lengths of the diagonals.

Which are equivalent equations? Select two correct answers.

d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1

Answer 1

Start with A = (1/2)d1 d2. Multiply both sides by 2: 2A = d1 d2.

Solve for d1: d1 = 2A / d2.
Solve for d2: d2 = 2A / d1.

So the correct choices are the ones giving d1 = 2A/d2 and d2 = 2A/d1.