Question

Mr. Weisner is using 81 padded squares to make a workout area in his house. Each square measures 1 meter by 1 meter. He wants to arrange the 81 squares in a

rectangular shape with the smallest possible perimeter. What dimensions should he use for his workout area?
mx
(Type whole numbers.)​

Answer 1

60 m

Explanation:

The area of each pad is 1 x 1 = 1 m^2

The total area of the square 81 square pads will be 81 x 1 m^2 = 81 m^2

The common factors of 81 are 1, 3, 9, 27, 81

the possible arrangements will be

• 81 m x 1 m
• 27 m x 3 m
• 9 m x 9 m (this should be excluded since it will give a square shaped arrangement)

the least rectangle will be formed with dimension of 27 m by 3 m

27 m x 3 m gives 81 m^2

perimeter = 2(27 + 3) = 2 x 30 = 60 m