Question

A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?

w^2 = 3(243)
3w^2 = 243
4w^2 = 243
3w^2 = 3(243)

Answer 1

the second option because it's three times the width so it would be time the W

Answer 2

`3W^(2)=243`

Explanation:

we know that

The area of the rectangle is equal to

`A=LW`

where

L is the length of the rectangle

W is the width of the rectangle

in this problem we have

`A=243\ units^(2)`

so

`LW=243` --------> equation A

`L=3W` ------> equation B

Substitute equation B in equation A

`(3W)W=243`

`3W^(2)=243`