1979 AHSME Problems/Problem 1
Revision as of 12:16, 3 January 2017 by E power pi times i (talk | contribs) (Created page with "== Problem 1 == <asy> draw((-2,1)--(2,1)--(2,-1)--(-2,-1)--cycle); draw((0,0)--(0,-1)--(-2,-1)--(-2,0)--cycle); label("$F$",(0,0),E); label("$A$",(-2,1),W); label("$B$",(2,1)...")
Problem 1
![[asy] draw((-2,1)--(2,1)--(2,-1)--(-2,-1)--cycle); draw((0,0)--(0,-1)--(-2,-1)--(-2,0)--cycle); label("$F$",(0,0),E); label("$A$",(-2,1),W); label("$B$",(2,1),E); label("$C$", (2,-1),E); label("$D$",(-2,-1),WSW); label("$E$",(-2,0),W); label("$G$",(0,-1),S); //Credit to TheMaskedMagician for the diagram [/asy]](http://latex.artofproblemsolving.com/e/6/f/e6f1f519c16bc795c83c94655c1012fb77e77c86.png)
If rectangle ABCD has area 72 square meters and E and G are the midpoints of sides AD and CD, respectively, then the area of rectangle DEFG in square meters is
Solution
Solution by e_power_pi_times_i
Since the dimensions of 
are half of the dimensions of 
, the area of is 
of , so the area of is 
.
