Question

The sides of a square are five to the power of two fifths inches long. What is the area of the square?

a) 25 square inches
b) 5 square inches
c) 125 square inches
d) 625 square inches

Answer 1

The area of the square is 25 square inches.

Step-by-step explanation:

To find the area of a square, you multiply the length of one side by itself. In this case, the sides of the square are 52/5 inches long. First, simplify 52/5 to find that the side length is 52/5 = 251/5 = ∛25 = 5 inches.

Then, calculate the area by multiplying the side length by itself:

5 inches × 5 inches = 25 square inches. Therefore, the area of the square is 25 square inches (option a).