Question

Mauricio divided two identical rectangles into equal parts. He colored one part of each rectangle. What is true about the areas of the colored parts?

Answer 1

Answer:

Areas of the colored parts are equal

Step-by-step explanation:

Given Mauricio divided two identical rectangles into equal parts.

Now given Mauricio colored one part of each rectangle. we have to tell about the true statement of colored parts.

Two identical rectangles means the rectangle having equal areas. He divides these two into equal parts and shaded one of each part

Let area of rectangle is x $unit^{2}$

∴ Colored part area = $\frac{1}{2}xunit^{2}$  →  (1)

Similarly, other rectangle area identical to above rectangle is  x $unit^{2}$

∴ Colored part area = $\frac{1}{2}xunit^{2}$  →   (2)

From above eq (1) and (2), we get

Areas of the colored parts are equal which is equals to $\frac{1}{2}xunit^{2}$