SOLUTION: Find the area of this figure https://ibb.co/fG8J40g4

Algebra.Com
Question 1209970: Find the area of this figure
https://ibb.co/fG8J40g4

Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!


This is a rhombus is made of 4 special right triangles. 
These are 5-12-13 right triangles.

Each of them has shorter leg = 5, hypotenuse = 13, and therefore
longer leg = 

So each 5-12-13 right triangle below has base = 12 and height = 5

So each of the four 5-12-13 right triangles has area

 
 
and since there are 4 of them, the total area =  cm2.

I think you are studying special right triangles, so this is a good
page to look at:

https://flexbooks.ck12.org/cbook/ck-12-precalculus-concepts-2.0/section/4.3/primary/lesson/special-right-triangles-pcalc/

Edwin


RELATED QUESTIONS

Find the area of the kite I got the answer 156.16cm https://ibb.co/ch1SdtSh... (answered by Edwin McCravy,ikleyn,mccravyedwin)
Find the area of the composite figure. Round your answer to the nearest hundredth.... (answered by greenestamps)
ABCE is a Parallelogram. ADEF is a Rhombus. Find the area of the composite figure.... (answered by Edwin McCravy,CPhill,mccravyedwin,ikleyn)
ABFE is a square. EBCD is a kite. Find the area of the composite figure.... (answered by greenestamps,mccravyedwin)
What is the area of this trapezoid?... (answered by Edwin McCravy)
What is the area of this triangle... (answered by ikleyn)
Find the area of the following triangle, in cm2:... (answered by ikleyn)
Find the area of the shaded region.... (answered by Edwin McCravy)
Find the surface area and volume of the figure: https://ibb.co/nsz79Jg (sorry I couldn't... (answered by josgarithmetic,Alan3354)