How do you figure out the area of a rhombus

Question

asked Apr 7, 2023 21.6k views

1 Answer

Katelyn · Answer 1 · 2023-04-12T02:25:04+0000

The rhombus has four congruent sides and 2 perpendicular diagonals

We can find the area of the rhombus using two methods:

1) if we have the side length and the height of the rhombus

Area = base * height

2) if we have the length of the diagonals

Area = 0.5 * the product of the diagonals

For the given rhombus:

As shown: we have the length of half the diagonals

So, the length of the diagonals will be :

$\begin{gathered} d_1=2\cdot6=12 \\ d_2=2\cdot8=16 \end{gathered}$

So, area =

$\text{Area}=(1)/(2)\cdot12\cdot16=(1)/(2)\cdot192=96\operatorname{cm}^2^{}$

So, the answer is : area of the rohmbus = 96 square cm.