question_answer

Amita wants to make rectangular cards measuring \[8\text{ }cm\times 5\text{ }cm\]. She has a square chart paper of side 60 cm. How many complete cards can she make from this chart? What area of the Chart paper will be left?

Answer:

Let ABCD be a square chart of side 60 cm. We have to cut out rectangular cards measuring \[8\,cm\times ~5\,cm\] out of this chart. Now, if we cut chart along AB as shown in figure, then we can cut 12 rectangular cards from one row. Similarly, we can cut 7 rows with 12 rectangular cards in each Area of cut outs of rectangular cards \[=7\times 12\] Number of cards made = 84 cards                                                                                                            The left part of square chart is of dimensions \[4\text{ }cm\times 60\text{ }cm\]. Now, area of the left part \[=4\times 60\] \[=Rs.\text{ }240\text{ }c{{m}^{2}}\]