Question

Consider the problem stated below.
“The perimeter of a rectangle is more than 36 cm. If the length of the rectangle is 3 more than the width, what are the minimum dimensions of the rectangle?”
What is/are the unknown quantity(ies) in the problem?

Answer 1

width? only?

Answer 2

The unknown quantities are length, width, and perimeter. However, they're all related, as shown in the following equations:
\[L = W+3\]
\[P = 2(L+W)\]
We can substitute using these equations to get an inequality:
\[ P > 36 \]
\[2((W+3)+W) > 36 \]
\[4W + 6 > 36 \]
\[W > \frac{15}{2} \]
\[L > \frac{21}{2} \]
Those are your minimum dimensions.

Answer 3

Aooh! Thank youuuuuu.