Question

A rectangle has a length that is 3 feet more than twice it’s width.If the width of the rectangle is represented by the variable w, give an expression for the length of the rectangle in terms of w

Answer 1

A rectangle has a length L that is 3 feet more than twice it’s width W.

Twice the width can be expressed as 2*W, which means two times the width.

The length is 3 feet more than twice the width, so we can write the length as:

$L=2W+3$

For example, if the width is 5 ft, then twice the width will be 2*5=10 and the length will be 3 ft more than twice the width, so it will be 3+10=13.

We could have calculated it from the formula as:

$\begin{gathered} L(W)=2W+3 \\ L(5)=2\cdot5+3=10+3=13 \end{gathered}$

Answer: the formula for the length is L = 2W+3