Question

A rectangle is formed using 4 identical figures (each figure is made of unit squares), one of which is shown here. If there are no overlaps or gaps left, what will be the perimeter (in units) of the rectangle?

Answer 1

Answer:

Question

A rectangle is formed using 4 identical figures (each figure is made of unit squares), one of which is shown here. If there are no overlaps or gaps left, what will be the perimeter (in units) of the rectangle?

is 20

Mark me as brilliant please

Answer 2

Answer:

20

Explanation:

So how do we solve this problem?

Every rectangle is uniquely determined by its length and its height.

A rectangle of length = l and height = h then l * h <= n is considered equivalent to a rectangle with length = h and height = l provided l is not equal to h. If we can have some sort of “ordering” in these pairs then we can avoid counting (l, h) and (h, l) as different rectangles. One way to define such an ordering is:

Assume that length <= height and count for all such pairs such that length*height <= n.

We have, length <= height

or, length*length <= length*height

or, length*length <= n

or, length <= sqrt(n)