Question

The length of each side of a square is increased by 2 inches. The perimeter of the original square is eight inches more than the length of one side of the larger square. What is the length, in inches, of each side of the larger square?

A. 2
B. 3 1/3
C. 4
D. 5 1/3

Answer 1

The length of each side of the larger square is 8/3 inches.

Step-by-step explanation:

To find the length of each side of the larger square, we need to first determine the dimensions of the original square. The problem tells us that the perimeter of the original square is eight inches more than the length of one side of the larger square. Let's assume that the length of one side of the larger square is 'x'.

The perimeter of the original square is 4 times the length of one side. So, the perimeter of the original square is 4x. According to the problem, this is eight inches more than the length of one side of the larger square, so we can write the equation: 4x = x + 8.

Now we can solve the equation to find x, the length of each side of the larger square:

4x - x = 8

3x = 8

x = 8/3

Therefore, the length of each