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

Answer:

$3W^{2}=243$

Step-by-step 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

$(3W)W=243$

$3W^{2}=243$