Question

Aiden has a rectangle that is 8 centimeters long by 4 centimeters wide. He wants to divide the rectangle into squares with 1/2 centimeter side lengths. Will Aiden’s plan result in at least 200 squares?

Answer 1

No, Aiden's plan will be a maximum of 128 squares

Explanation:

We have a rectangle with 8 cm long by 4 cm wide, that is to say

8*4 = 32 squares, but you want to divide the rectangle into 1/2 cm squares, therefore

`(8)/((1)/(2))*(4)/((1)/(2))=(32)/((1)/(4))=32*4=128`

So Aiden's plan will have to be limited to max 128 squares

Answer 2

128 squares

Explanation:

If the rectangle is 8cm long by 4cm wide, the area is:

`A=8*4cm^2=32cm^2`

The squares have 1/2=0.5cm side length, hence the area of the squares is:

`A'=(0.5)cm^2=0.25cm^2`

By dividing A between A' you can obtain the number of squares:

`n=(A)/(A')=(32cm^2)/(0.25cm^2)=128`

hence, the number of sqares that Aiden is able to produce is 128