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

Redeem

Geometry

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 14
Joined: Thu Oct 15, 2009 11:35 am

Geometry

by manelgirona » Tue Feb 09, 2010 9:09 am
Rectangle ABCD has an area of 84 square feet. Point E lies on side AB, such that the ratio of line segment AE to line segment EB is 4 to 3, and point F lies on side DC. What is the area, in square feet, of triange AFE?

a) 24
b) 42
c) 48
d) 70
e) It cannot be determined



Could you explain?


OA: A
Top
Source: — Problem Solving |
User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pm
Location: Arabian Sea
Thanked: 125 times
Followed by:2 members

by ajith » Tue Feb 09, 2010 9:21 am
manelgirona wrote:Rectangle ABCD has an area of 84 square feet. Point E lies on side AB, such that the ratio of line segment AE to line segment EB is 4 to 3, and point F lies on side DC. What is the area, in square feet, of triange AFE?

a) 24
b) 42
c) 48
d) 70
e) It cannot be determined



Could you explain?


OA: A
The area
Image


say x is the length of AB and y is the length of BD

xy = 84

Now area of triangle AFE = 1/2 *base*height

= 1/2* AE* BC
= 1/2*4/7x*y
= 2/7xy
= 2/7*84
=24
Always borrow money from a pessimist, he doesn't expect to be paid back.
Top
Post new topic Post Reply
• Page 1 of 1