a rhombus has an area of 165 square units. Of the lenght of one of its diagonals is 15 units, find the lenght of its other diagonal
I tried DR Russ
I didn't come up with answer of 22 units
could you give more direction
Think of the rhombus as a rectangle where the lines joining the mid-points are the diagonals of the rhombus.
The area of a rhombus is therefore half of product of its diagonals.
So 15*D/2=165.
Solve for D.
A Area
AC and BD diagonals
A=AC*BD/2
165=15*BD/2
2*165=15*BD
330=15*BD Divide with 15
BD=330/15=22
go to wikipedia and type rhombus
To find the length of the other diagonal of a rhombus, you can use the formula:
Area = (d1 * d2) / 2
Where:
- Area is the area of the rhombus
- d1 and d2 are the lengths of the diagonals
In this case, you know the area of the rhombus is 165 square units, and one of its diagonals (d1) is 15 units.
Let's substitute these values into the formula:
165 = (15 * d2) / 2
To solve for d2 (the length of the other diagonal), we need to isolate it. First, multiply both sides of the equation by 2:
165 * 2 = 15 * d2
Now, simplify:
330 = 15 * d2
To isolate d2, divide both sides by 15:
330 / 15 = d2
This gives us:
d2 = 22
So, the length of the other diagonal is 22 units.
It seems like you tried solving the equation but didn't arrive at the answer of 22 units. It's possible that you made a calculation error or skipped a step. By following the steps outlined above, you should be able to obtain the correct answer.