Question

Question 3

1 pts
The side of a square measures 2x²y. What is the area of the square if x
= -2 and y = 2? Do not use commas in your answer.

Answer 1

The area of the square when x = -2 and y = 2 is 256 sq. units.

Explanation:

The side of the square =
`2x^2 y`

Now, AREA OF THE SQUARE = SIDE x SIDE

⇒ Area of the square is:

`(2x^2 y) * (2x^2 y)\\=   (2x^2 y)^2   = 4x^4y^2`

So, the area of the square is
`4x^4y^2`

Now, to find the area when x = -2 and y = 2

So,
`4x^4y^2  \implies 4 (-2)^4 (2)^2\\=4 *16 * 4 = 256`

⇒The area of the square when x = -2 and y = 2 is 256 sq. units.