Question

A square has a length 6√6 inches. What is the area of the rectangle?

1.) 36√6 square inches
2.) 36 square inches
3.) 216 square inches
4.) 216√6 square inches
Please if you answer can you explain how to solve for both perimeter and area?!?!

Answer 1

c. 216 inches

Explanation:

6*6=36

Root 6 times root 6=6

36 times 6 is 216

Answer 2

Area of square= 216 square inches

Perimeter of square
`= 24√(6)` inches.

Explanation:

Given that length of the side of the square =
`6√(6)` inches.

Now we need to find area of the rectangle. So apply the formula area of rectangle

`Area of square= (side)^2`

`Area of square= (6√(6))^2`

`Area of square= 6^2(√(6))^2`

`Area of square= 36(6)`

Area of square= 216 square inches

Similarly

`Perimeter of square= 4(side)`

`Perimeter  of square= 4(6√(6))`

Perimeter of square
`= 24√(6)` inches.