From Kaplan CAT #2.
If an isoceles right triangle has an area of 2x^2 + 2x + 1/2, what is the Perimeter?
A. 3 (x+1)
B. (2^1/2)(x^2+1)
C. (2x-1)(2x+1)
D. (2+2^1/2)(2x+1)
E. 2x + 2^1/2
This was my approach. Why doesn't picking numbers work here?
2x^2 + 2x + 1/2 = (h*b)/2
Pick x=2
8 + 4 + 0.5 = bh/2
12.5 = bh/2
25 = bh
But triangle is isoceles, so b=h
25 = b^2
So b = 5
If b=5, P = 5+ 5+ 5 (2^0.5)
P = 10 + 5(2^0.5)
If I plug, x=2 into all the answer choices, I should find the equivalent of 10 + 5(2^0.5) among the choices.
Where have I gone wrong?
Please let me know.
Thanks
If an isoceles right triangle has an area of 2x^2 + 2x + 1/2, what is the Perimeter?
A. 3 (x+1)
B. (2^1/2)(x^2+1)
C. (2x-1)(2x+1)
D. (2+2^1/2)(2x+1)
E. 2x + 2^1/2
This was my approach. Why doesn't picking numbers work here?
2x^2 + 2x + 1/2 = (h*b)/2
Pick x=2
8 + 4 + 0.5 = bh/2
12.5 = bh/2
25 = bh
But triangle is isoceles, so b=h
25 = b^2
So b = 5
If b=5, P = 5+ 5+ 5 (2^0.5)
P = 10 + 5(2^0.5)
If I plug, x=2 into all the answer choices, I should find the equivalent of 10 + 5(2^0.5) among the choices.
Where have I gone wrong?
Please let me know.
Thanks
