Question

8. Sam divided a rectangle into 8 congruent

Answer 1

Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?

Answer:

$Area\ of\ the\ rectangle = 40\ cm^{2}$

Step-by-step explanation:

Given:

Sam divided a rectangle into 8 congruent  rectangles that each have an area of $5\ cm^{2}$

We need to find the area of the rectangle before Sam divided it.

The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.

Area of the rectangle = $8\times (area\ of\ congruent\ rectangles)$

Area of the congruent rectangle is $5\ cm^{2}$

So the area of the rectangle is

Area of the rectangle = $8\times 5$

Area of the rectangle = $40\ cm^{2}$

Therefore the area of the rectangle before divided is $40\ cm^{2}$