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

Answer:

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

Step-by-step 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

$\frac{8}{\frac{1}{2}}*\frac{4}{\frac{1}{2}}=\frac{32}{\frac{1}{4}}=32*4=128$

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

Answer 2

Answer:

128 squares

Step-by-step 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:

$n=\frac{A}{A'}=\frac{32cm^2}{0.25cm^2}=128$

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