Problem: Given rectangle R1 with one side 2 inches and area 12 square inches. Rectangle R2 with diagonal 15 inches is similar to R1. Expressed in square inches the area of R2 is:
Answer Choices:
A. 9/2
B. 36
C. 135/2
D. 910
E. 2710/4
Solution:
The sides of R1 are 2 inches and 6 inches and the square of its diagonal, d2, equals 62+22(=40) Since the rectangles are similar, we have
area R1 area R2=d2D2∴ area R2=40225.12=2135