¶ 1993 AMC8 Problem 13
Problem:
The word in block letters is painted in black with strokes unit wide on a by rectangular white sign with dimensions as shown. The area of the white portion of the sign, in square units, is
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The white portion can be partitioned into rectangles as shown.
The sum of the areas of the white rectangles is .
Compute the area of the black letters and subtract it from , the total area of the sign:
The area of the white portion is .
Superimpose a grid on the sign and count the white squares:
Answer: .
The problems on this page are the property of the MAA's American Mathematics Competitions