BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

ABCD is a square picture frame (see figure). EFGH is a

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

ABCD is a square picture frame (see figure). EFGH is a

by BTGmoderatorDC » Sun Aug 26, 2018 5:27 pm
Image

ABCD is a square picture frame (see figure). EFGH is a square inscribed within ABCD as a space for a picure. The area of EFGH (for the picture) is equal to the area of the picture frame (the area of ABCD minus the area of EFGH). If AB = 6, what is the length of EF?

$$A.\ 3\sqrt{3}$$
$$B.\ 4\sqrt{2}$$
$$C.\ 5\sqrt{3}$$
$$D.\ 3\sqrt{2}$$
$$E.\ 2\sqrt{5}$$

OA D

Source: Manhattan Prep
Top
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 2095
Joined: Tue Dec 04, 2012 3:22 pm
Thanked: 1443 times
Followed by:247 members

by ceilidh.erickson » Mon Aug 27, 2018 11:44 am
If the length AB = 6, then the area of the entire figure (frame + picture) = 36.

Since the frame and picture both have an equal area, the area of each must be 18.

If square EFGH has an area of 18, then each side length must be: $$\sqrt{18}$$
$$=3\sqrt{2}$$
The answer is D.
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
Top
Post new topic Post Reply
• Page 1 of 1