Question

8. Sam divided a rectangle into 8 congruent

rectangles that each have the area shown.
What is the area of the rectangle before
Sam divided it?

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)`

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* (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* 5`

Area of the rectangle =
`40\ cm^(2)`

Therefore the area of the rectangle before divided is
`40\ cm^(2)`