eglakananaj2666 eglakananaj2666
  • 25-09-2019
  • Mathematics
contestada

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.

Respuesta :

calculista
calculista calculista
  • 02-10-2019

Answer:

see the explanation

Step-by-step explanation:

Let

L ---> the length of rectangle in cm

W ---> the width of rectangle in cm

The area of rectangle is

[tex]A=LW[/tex]

[tex]A=991\ cm^2[/tex]

so

[tex]991=LW[/tex] ---> 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

[tex]W=1\ cm, L=991\ cm[/tex]  or  [tex]L=1\ cm, W=991\ cm[/tex]

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