If each side of a square grows 6 mm, the area of the square is multiplied by 16. How long are the sides of the original square

Question

2 years ago

10

?

1 answer:

Phoenix [80] · Answer 1 · 2022-11-27T10:37:08+03:00

3 0

Answer:

2 mm

Step-by-step explanation:

Let x be the sides of the original square,

then the area of the original square is x^2

The sides of the new square is x + 6

The area is (x + 6)^2

Then (x + 6)^2 = 16*x^2

Take square root on both sides and get

x + 6 = 4x,

3x = 6

so x = 2 mm

If each side of a square grows 6 mm, the area of ​​the square is multiplied by 16. How long are the sides of the original square