http://www.ck12.org Chapter 10. Perimeter and Area
So, the height of these rectangles is half of one of the diagonals and the base is the length of the other diagonal.
Thearea of a rhombus or a kiteisA=^12 d 1 d 2 if the diagonals of the rhombus or kite ared 1 andd 2. You could also
say that the area of a kite and rhombus arehalf the product of the diagonals.
Example A
Find the perimeter and area of the rhombus below.
In a rhombus, all four triangles created by the diagonals are congruent. To find the perimeter, you must find the
length of each side, which would be the hypotenuse of one of the four triangles. Use the Pythagorean Theorem.
122 + 82 =side^2 A=1
2
· 16 · 24
144 + 64 =side^2 A= 192
side=√
208 = 4
√
13
P= 4
(
4
√
13
)
= 16
√
13
Example B
Find the perimeter and area of the rhombus below.