We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
+2
67
1
avatar+200 

In the diagram, the area of rectangle EFGH is 1/4 of the area of unit square ABCD. What is the area of quadrilateral AFCH in square units?

 Jun 26, 2019
 #1
avatar+101813 
+3

Note that quadrilaterals EAHD and  BFCG  must  be  3/4 of the area of the square

 

But the area of  triangle EAH and  triangle FCG  are 1/2 the area of each of the above quadrilaterals

 

So.......their combined area  must be   (1/2) (3/4)  =  3/8  units^2

 

So [ FEGH]  +[ EAH ]  +[ FCG]   = [FACH]   =  1/4  + 3/8   =   2/8 + 3/8  =   5/8 units^2

 

 

cool cool cool

 Jun 26, 2019
edited by CPhill  Jun 26, 2019

3 Online Users