Geometry

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jainrahul1985: Master | Next Rank: 500 Posts; Posts: 228; Joined: Sun Aug 17, 2008 8:08 am; Thanked: 4 times

by jainrahul1985 » Sat Jul 25, 2009 10:02 pm

The figure shown above represents a modern painting that consists of four differently colored rectangles, each of which has length l and width w. If the area of the painting is 4,800 square inches, what is the width, in inches, of each of the four rectangles?

A. 15
B. 20
C. 25
D. 30
E. 40

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Source: Beat The GMAT — Problem Solving | Sat Jul 25, 2009 10:02 pm

raghavsarathy: Master | Next Rank: 500 Posts; Posts: 166; Joined: Sat Apr 18, 2009 10:41 pm; Thanked: 9 times; GMAT Score:770

by raghavsarathy » Sun Jul 26, 2009 2:24 am

From the figure we see that the width of three smaller rectangles is equal to the length of the smaller rectangle.

Hence l= 3w

Consider the big painting

Length = w + l = w+3w = 4w

Width = l = 3w

Given area = 4800

(4w)*(3w) = 4800
w = 20

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