Question

Explain how finding the area of a rectangle with whole-number side lengths compares to finding the area

of a rectangle with fractional side lengths.

Answer 1

A = ab and

`A' = (p)/(q) * (m)/(n) = (pm)/(qn)`

Explanation:

Let the dimensions of a rectangle are all whole numbers, a by b.

Therefore, the area of the rectangle is given by, A = ab.

And, another rectangle with dimensions all fractions say,
`(p)/(q)` by
`(m)/(n)`.

{The fractions may be a proper or improper fraction}

So, the area of the rectangle for this rectangle will be
`A' = (p)/(q) * (m)/(n) = (pm)/(qn)`.

Therefore, in both cases we have to multiply the length and the width of the rectangle to get the area. (Answer)