The rectangle below is divided into square regions. Using the information given, find the area of these regions. Is the outside rectangle also a square?

Question

Tsst of genius page 232. Problem 3. I just need helps with it

Answer 1

A rectangle is a 4-sided shape that has 2 pairs of equal parallel sides.  A square is a 4-sided shape the has all sides of equal length.

 

Let the smaller side of rectangle = x

Let the larger side of rectangle = y

 

When we divide the rectangle into small square regions, the line segments inside the rectangle must be equal to each other.  Call these line segments side B.

 

 

The rectangle can only be a square if:

 

(1) the equal segments of side x (established when the rectangle is divided into square regions) is equal to side B.

 

(2) the equal segments of side y (established when the rectangle is divided into square regions) is equal to side B. 

 

(3) side x is equal to side y.

 

 

I am not sure what your actual numbers are on the diagram you may have, but apply the above concepts to get your answer.