Four congruent rectangles are arranged as shown to form an inner square of area 20 cm2 and an outer square of area 64 cm2. What is the perimeter of one of the four congruent rectangles?
A. 6 cm
B. 8 cm
C. 9.75 cm
D. 16 cm
E. 20 cm
D. 16 cm
The outer square has area 64 cm2, so its side-length is 8 cm.
Therefore the sum of the length and the breadth of one of the four congruent rectangles is 8 cm.
Hence the perimeter of one of these rectangles is 2 × 8 cm = 16 cm.
(Note that the perimeter of one of the rectangles depends only on the area of the outer square.)
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