There's a rectangle that's drawn with a length that is three times the width. If we know that the area of the rectangle totals to be four hundred thirty two square meters, then what are the length and width

Respuesta :

Answer: the length is 36 meters. The width is 12 meters

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the length of the rectangle.

There's a rectangle that's drawn with a length that is three times the width. This means that

L = 3W

The area of a rectangle is expressed as L×W. If we know that the area of the rectangle totals to be four hundred thirty two square meters, it means

LW = 432 - - - - - - - 1

Substituting L = 3W into equation 1, it becomes

3W×W = 432

3W^2 = 432

W^2 = 432/3 = 144

W = √144

W = 12

L = 432/W = 432/12 = 36