Question

one-inch squares are cut from the corners of this 5 inch square. what is the area in square inches of the largest square that can be fitted into the remaining space?

Answer 1

The area of the largest square that can be fitted into the remaining space is 24 square inches.

Step-by-step explanation:

The area of the larger square can be found by subtracting the area of the smaller square from the area of the original square. The side length of the smaller square is 1 inch, so its area is 1*1 = 1 square inch. The area of the original square is 5*5 = 25 square inches. Subtracting the area of the smaller square from the original square gives us 25 - 1 = 24 square inches. Therefore, the area of the largest square that can be fitted into the remaining space is 24 square inches.

Answer 2

The area of the largest square that can be fitted into the remaining space is 21 square inches.

Step-by-step explanation:

The area of the largest square that can be fitted into the remaining space can be found by subtracting the area of the smaller squares from the area of the original square.

Since each side of the original square is 5 inches long, the area of the original square is 5 inches x 5 inches = 25 square inches.

The four smaller squares have side lengths of 1 inch, so each one has an area of 1 inch x 1 inch = 1 square inch. The total area of the four smaller squares is 4 square inches.

Subtracting the area of the smaller squares from the area of the original square, we get 25 square inches - 4 square inches = 21 square inches.

Therefore, the area of the largest square that can be fitted into the remaining space is 21 square inches.