Carcass wrote:
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#GREpracticequestion In the figure above, the perimeter of square ABCD is 32 and the area of ΔADE is 12.jpg
In the figure above, the perimeter of square \(ABCD\) is 32 and the area of \(ΔADE\) is 12. What is the length of \(EC\)?
If the perimeter of SQUARE ABCD is 32, . . .
. . . then each side must have length 8
If the area of ΔADE is 12, we can let the base have length x
Area of triangle = (base)(height)/2So, we can write: 12 = (x)(8)/2
Solve to get: x = 3
Now that we know that side DE has length 3, . . .
. . . we can see that side EC must have length 5
Answer: 5
Cheers,
Brent