alexaq
Answered

The length of a rectangle is 3 units shorter than one-third of the width, x. Enter an expression in the box that represents the perimeter of the rectangle. Note: Use one variable and a fraction in the answer.


Help please! I have absolutely no idea how to solve!!!! ^^^

Verified Answer :

JunhaoZ

Since length is 3 less than 1/3 width, set up equation l=(1/3)w-3. Because P=2(l+w), substitute l with the euation and get P=2(4/3w-3)

calculista

Let

y----------> the length side of the rectangle

x-----------> the width side of the rectangle

we know that

the perimeter of the rectangle is equal to

\(P=2x+2y\) --------> equation \(1\)

\(y=\frac{x}{3}-3\) --------> equation \(2\)

substitute equation \(2\) in equation \(1\)

\(P=2x+2[\frac{x}{3}-3]\\ \\P=2x+ \frac{2x}{3}-6 \\ \\P=(\frac{8x}{3}-6)\ units\)

therefore

the answer is

\(P=(\frac{8x}{3}-6)\ units\)