Question

Divide the rectangle into 6 equal parts, i.e. they have equal dimensions, the length and breadth of the rectangle.

Answer 1

Hint: To divide the rectangle into equal parts, we first construct a rectangle with some dimension. Then we have two ways of dividing a rectangle, horizontally or vertically. We divide it in such a way that the smaller rectangle has $\dfrac{1}{{{6^{{\text{th}}}}}}$ of the dimensions.

Complete step-by-step solution -
Let us construct a rectangle with length l and breadth b, it looks like

Now if we divide this horizontally i.e. with respect to its breadth it looks like,

The length of each small rectangle is the same but breadth of each small rectangle becomes$\dfrac{1}{{{6^{{\text{th}}}}}}$of the original, i.e. $\dfrac{{\text{b}}}{6}$.

Now if we divide this vertically i.e. with respect to its length it looks like,

The breadth of each of the small rectangle remains the same but the length becomes $\dfrac{1}{{{6^{{\text{th}}}}}}$of the original, i.e. $\dfrac{{\text{l}}}{6}$.

Note: In order to solve this type of question the key is to understand the meaning of dividing the rectangle into 6 equal parts. It is important to divide it only w.r.t its length of its breadth. If we divide it w.r.t to the length and breadth at once, we obtain 36 equal rectangles.