The figure shows the quadratic function y = x2 and the points D and G on the graph. The coordinate of point A is (0, 9)

This topic has expert replies
User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

[GMAT math practice question]

The figure shows the quadratic function y = x^2 and the points D and G on the graph. The coordinate of point A is (0, 9), and ABCD and BEFG are squares. What is the difference between the area of ABCD and that of BEFG?
6.3ps.png
A. 1
B. 2
C. 3
D. 4
E. 5
Source: — Problem Solving |

User avatar
Elite Legendary Member
Posts: 3991
Joined: Fri Jul 24, 2015 2:28 am
Location: Las Vegas, USA
Thanked: 19 times
Followed by:37 members
=>

Since the coordinate of point A is (0, 9), we have D(3, 9), B(6, 0)
and G(√6, 6).
Then the length of the sides of square ABCD is 3, and that of sides of the square BEFG is √6.
The difference between areas of the two squares is 3^2 - (√6)^2 = 9 - 6 = 3.
Therefore, C is the answer.
Answer: C