Difference between revisions of "1978 AHSME Problems/Problem 29"
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| + | ==Problem== | ||
| + | Sides <math>AB,~ BC, ~CD</math> and <math>DA</math>, respectively, of convex quadrilateral <math>ABCD</math> are extended past <math>B,~ C ,~ D</math> and <math>A</math> to points <math>B',~C',~ D'</math> and <math>A'</math>. Also, <math>AB = BB' = 6,~ BC = CC' = 7, ~CD = DD' = 8</math> and <math>DA = AA' = 9</math>; and the area of <math>ABCD</math> is <math>10</math>. The area of <math>A 'B 'C'D'</math> is | ||
| + | |||
| + | <math>\textbf{(A) }20\qquad \textbf{(B) }40\qquad \textbf{(C) }45\qquad \textbf{(D) }50\qquad \textbf{(E) }60</math> | ||
| + | ==Solution== | ||
It's D, 50 | It's D, 50 | ||
Revision as of 13:35, 20 June 2021
Problem
Sides 
and 
, respectively, of convex quadrilateral 
are extended past 
and 
to points 
and 
. Also, 
and 
; and the area of is 
. The area of 
is
Solution
It's D, 50
