Question

13. The area of a rectangle is 991 cm². If 991

is a prime number, what are the whole

number dimensions of the rectangle?

Explain your reasoning.

Answer 1

see the explanation

Explanation:

Let

L ---> the length of rectangle in cm

W ---> the width of rectangle in cm

The area of rectangle is

`A=LW`

`A=991\ cm^2`

so

`991=LW` ---> equation A

we know that

Prime numbers only have factors of 1 and themselves.

So a rectangle with an area of 991 cm² can only be either

`W=1\ cm, L=991\ cm` or
`L=1\ cm, W=991\ cm`