Question

Isamu put 4 of the tiles together to make a square. Write and solve an equation to find the area, in square feet, of the square.

Answer 1

Part a) The area of the tile is
`(1)/(9)\ ft^(2)`

Part b) The area of the tile is
`(4)/(9)\ ft^(2)`

Explanation:

Part a) What is the area of the tile in square feet?

we know that

The area of a square is equal to

`A=b^(2)`

where

b is the length side of the square

we have

`b=(1)/(3)\ ft`

substitute the value

`A=((1)/(3))^(2)=(1)/(9)\ ft^(2)`

Part b) Isamu put 4 of the tiles together to make a square. Write and solve an equation to find the area, in square feet, of the square

we have that

The new length side of the tile is

`b=2((1)/(3))=(2)/(3)\ ft`

the new area is equal to

`A=((2)/(3))^(2)=(4)/(9)\ ft^(2)`