Isamu put 4 of the tiles together to make a square.

Ответ:

ethanm2685

03.01.2022

Part a) The area of the tile is $\frac{1}{9}\ ft^{2}$

Part b) The area of the tile is $\frac{4}{9}\ ft^{2}$

Step-by-step 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

$b=\frac{1}{3}\ ft$

substitute the value

$A=(\frac{1}{3})^{2}=\frac{1}{9}\ ft^{2}$

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

$b=2(\frac{1}{3})=\frac{2}{3}\ ft$

the new area is equal to

$A=(\frac{2}{3})^{2}=\frac{4}{9}\ ft^{2}$

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