Question

In a square, doubling every side increases the area by 27 units. What is the length of side of the newly formed square? a) 3 b) 6 c) 9 18 d​

Answer 1

The answer is c I take the test

Answer 2

Answer: B) 6

===========================================================

Step-by-step explanation:

x = original side length

2x = double the side length

The old area is x^2. The new square area is (2x)^2 = 4x^2

new area = (old area) + 27

4x^2 = x^2 + 27

4x^2-x^2 = 27

3x^2 = 27

x^2 = 27/3

x^2 = 9

x = sqrt(9)

x = 3

The old original square has a side length of 3 units.

The new larger square has a side length of 2x = 2*3 = 6 units which is the final answer (choice B)

old area = 3^2 = 9

new area = 6^2 = 36

The jump from 9 to 36 is +27 to help confirm the answer.