Question

A wire was bent into the shape of a rectangle with a width of five and a length of seven. If this wire is bent into the shape of a square, what is the length of a side of the square?

A) 7
B) 5
C) 6
D) 12

Answer 1

To find the length of a side of the square, we need to find the perimeter of the rectangle and divide it by 4. The length of a side of the square is 6.

Step-by-step explanation:

To find the length of a side of the square, we need to consider the perimeter of the rectangle. The perimeter is the sum of all the sides. In this case, the perimeter of the rectangle is 2 times the width plus 2 times the length. So, the perimeter is 2 imes 5 + 2 imes 7 = 10 + 14 = 24.

Since the wire is bent into the shape of a square, all sides of the square have the same length. Therefore, the length of a side of the square is equal to the perimeter divided by 4. So, the length of a side of the square is 24 / 4 = 6.

Therefore, the correct answer is (C) 6.