ABCD is a square with area 16 sq meters. E and F are midpoints of sides AB and BC, respectively. What is the area of trapezoid AEFC?
A) 8 sq units B) 10 sq units C) 6 sq units D) 16 sq units
E) 12 sq units
Did you make a sketch?
is a square with area 16 mē.
and are midpoints of sides and , respectively.
What is the area of trapezoid ?
. . A) 8 mē . . B) 10 mē . . C) 6 mē . . D) 16 mē . . E) 12 mēCode:E A *-------*-------* B | *:::::|:* | | *:::|:::* | | *:|:::::* | * - - - *:-:-:-:* F | * | *:::::| | * | *:::| | * | *:| D *-------*-------* C
With a few lines, we see that the square
. . is divided into 8 congruent right triangles.
The trapezoid occupies 3 of these triangles.
Therefore . . .