This is one of the new question types for the quantitative section, where you type in your answer into a box on the screen. No choices to plug in or guess from makes this problem type a little tougher than multiple choice. We’ll post the answer and explanation for this question tomorrow, along with a link to try the question on the Magoosh website so you can familiarize yourself with the new format. Good luck!

The figure shows the graph of the equation , where is a constant. If the area of triangle is , what is the value of ?

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Co-ordinates of A, B and C are (0,k), (k^0.5,0) and (-k^0.5,0) respectively. So BC= 2√k and OA=K. It yields area of triangle ABC = 0.5* 2√k * k = k^(3/2)

I too get 1/4 and used the same logic as above. But I have one doubt. Should I enter the answer as “1/4” in the text box or can I also enter “0.25” in the text box?

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I got 1/4, by taking the area of triangle 1/2xbasexheight=1/8. basexheight will be 1/4. Hence, k = 1/4

Co-ordinates of A, B and C are (0,k), (k^0.5,0) and (-k^0.5,0) respectively. So BC= 2√k and OA=K. It yields area of triangle ABC = 0.5* 2√k * k = k^(3/2)

So

k^(3/2)= 1/8

=>(2√k)^3 = 1

=> 2√k=1

=>k=1/4

Ahmed

You are 100% perfect with your answer.

I too get 1/4 and used the same logic as above. But I have one doubt. Should I enter the answer as “1/4” in the text box or can I also enter “0.25” in the text box?

I got 1/4

y-intercept when x =0, y-intercept = k

x-intercepts = √k and -√k

area of tri = 1/2 * 2√k * k = 1/8

k√k = 1/8 (squaring both sides)

k^3 = 1/64

k = 1/4

to check: 1/4 – (√1/4)^2 = 0