The area of a kite is 180 cm2. The length of one diagonal is 16cm. What is the length of the other diagonal?

(This is tenth grade math, please don't make it advanced.)

Show work.

We know that the area of a kite is found by multiplying the lengths of its two diagonals and dividing by 2. So, we can use this formula to find the missing diagonal:

Area = (d1 x d2) / 2

Where d1 and d2 are the diagonals of the kite.

We are given that the area is 180 cm^2 and one diagonal (d1) is 16 cm. Let's plug in what we know and solve for the missing diagonal (d2):

180 = (16 x d2) / 2
Multiplying both sides by 2:
360 = 16 x d2
Dividing both sides by 16:
d2 = 22.5

Therefore, the length of the other diagonal (d2) is 22.5 cm.