Question

A rectangular piece of paper measures \[20cm\] by \[40cm\]. How many square pieces of paper side \[10cm\] can be cut from it?

Answer 1

Hint: The dimensions of rectangular paper are given in the numerical and to find the square from it. For that we have to divide the dimensions of the rectangular paper by the side of the square which are given in the numerical.
At last we have to multiply the two values to get the total number of square pieces of paper.

Complete step by step solution:
It is given in the numerical that there is a piece of paper of rectangular size having dimensions of \[20cm\] by \[40cm\]
Now we will let, length of the rectangle be \[40cm\] and the breadth of the rectangle be \[20cm\].
We have to cut square pieces of paper of that rectangular paper.
Given that, the square pieces should be \[10cm\] on the side.
For finding the number of square we have to calculate the following terms,
Divide the breadth of rectangle by the side of the square we will get,
\[ \Rightarrow \dfrac{{20}}{{10}}\]
\[ \Rightarrow 2\]
Now we will divide the length of rectangle by the side of the square and we will get,
\[ \Rightarrow \dfrac{{40}}{{10}}\]
\[ \Rightarrow 4\]
From the above calculation we can say that there are 2 squares according to the breadth of rectangle and 4 squares according to the length of the rectangle.
But for calculating the total number of square pieces we have to multiply 4 and 2 to get the required result.
\[ \Rightarrow 4 \times 2 = 8\]

Hence, there are total 8 square pieces of paper that can be cut from the given rectangular piece of paper.

Note: Here the dimensions of the rectangular piece of paper are given as \[20cm\] by \[40cm\]. We took \[40cm\] as length and \[20cm\] as breadth because the length of the rectangle is always greater than its breadth.
We calculated the 2 square pieces according to breadth and 4 pieces according to length of rectangular paper.
It means that the rectangular paper contains 2 square pieces in the breadth of the rectangle and 4 square pieces in the length of the rectangle. But it is not the number of square pieces which we have to find, for that we have to multiply these two values.