a rectangles length is three times its width, w. its area is 243 square units. which equation can be used to…

a rectangles 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?\n$w^{2}=3(243)$\n$3w^{2}=243$\n$4w^{2}=243$\n$3w^{2}=3(243)$

a rectangles 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?\n$w^{2}=3(243)$\n$3w^{2}=243$\n$4w^{2}=243$\n$3w^{2}=3(243)$

Answer

Explanation:

Step1: Express length in terms of width

Given length $l = 3w$.

Step2: Use area formula for rectangle

Area of rectangle $A=l\times w$. Substitute $l = 3w$ and $A = 243$ into the formula: $243=(3w)\times w$.

Step3: Simplify the equation

$(3w)\times w=3w^{2}$, so the equation is $3w^{2}=243$.

Answer:

$3w^{2}=243$ (corresponding to the second option in the multiple - choice list)