a rectangular pan has a length that is $\frac{4}{3}$ the width. the total area of the pan is 432 in.$^{2}$…
a rectangular pan has a length that is $\frac{4}{3}$ the width. the total area of the pan is 432 in.$^{2}$. what is the width of the cake pan?\n$a = lw$\n\nin.
Answer
Answer:
18
Explanation:
Step1: Let the width be $w$.
Length $l=\frac{4}{3}w$
Step2: Substitute into area formula.
$A = lw$, so $432=\frac{4}{3}w\times w=\frac{4}{3}w^{2}$
Step3: Solve for $w^{2}$.
Multiply both sides by $\frac{3}{4}$, we get $w^{2}=432\times\frac{3}{4}=324$
Step4: Find $w$.
Take the square - root of both sides, $w = \sqrt{324}=18$ (we take the positive value since width cannot be negative)