Question

The card paper of length 80 cm and 40 cm breadth, then how many squares are made from card paper of length 10 cm?

Answer 1

Hint: First, find the area of the card paper by the given length and breadth of the card paper. After that find the area of the square by the given side of the square. After that put these values in the formula to find the number of squares that can be made from the card paper.

Complete step-by-step answer:
Given:- Length of the card paper= l= 80 cm
Breadth of the card paper= b= 40 cm
Side of the square= s= 10 cm
Let the number of the squares can be made from the card paper be n, the area of the card paper be ${A_1}$ and the area of the square be ${A_2}$.
Since the square is made from the card paper. So,
$n = \dfrac{{{A_1}}}{{{A_2}}}$...........…..(1)
Now, the area of the card paper is,
${A_1} = l \times b$
Put the values of the length and breadth of the card paper in the formula,
$\Rightarrow$${A_1} = 80 \times 40c{m^2}$
Multiply the values to get the area of the card paper,
$\Rightarrow$${A_1} = 3200\,c{m^2}$
Now, the area of the square is,
${A_2} = {s^2}$
Put the value of the side of the square in the formula,
$\Rightarrow$${A_2} = {10^2}$
Calculate the square of 10 to get the area of the square,
$\Rightarrow$${A_2} = 100\,c{m^2}$
Now, put the area of the card paper and the square in equation (1),
$n = \dfrac{{3200}}{{100}}$
Cancel out the common factors from both numerator and denominator,
$\Rightarrow$$n = 32$

Hence, the number of squares that can be made from the card paper is 32.

Note: Square: A square is a closed two-dimensional plane figure with four sides. All the four sides of the square are of equal measure. In other words, a square is considered as a quadrilateral or a 4-sided polygon. Since all the angles are of equal measure, it is considered as an equiangular quadrilateral.
Rectangle: A rectangle is a quadrilateral with four sides. The opposite side of a rectangle is parallel to each other. The opposite faces of the rectangle are of equal measure. A rectangle has four angles, each measuring about 90 degrees. As like a square, a rectangle is also called an equiangular quadrilateral.