Question

Question 50

Amita wants to make rectangular cards measuring 8 cm$\times$5 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 1

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 chart along AB as shown in the figure, then we can cut 12 rectangular cards from one row i.e. $\frac{60cm}{5cm}$ = 12

Similarly, we can cut 7 rows with 12 rectangular cards in each as in $\frac{56cm}{8cm}$ = 7

Area of cut outs of the rectangular cards = 7$\times$12$\times$(8$\times$5)$c{m}^2$

= 3360 $c{m}^2$

Area of whole sheet = 60×60=3600 $c{m}^2$

Now, area of the left part = (3600-3360) $c{m}^2$= 240 $c{m}^2$