Question

As part of ‘Earth Day’ celebrations, an inter-class poster making competition was arranged between nine sections of class VIII. Each section was provided sheet measuring \[75cm\times 40cm\] for making the poster. Find the total area of the sheet provided to the students. Express the area in exponential form.

Answer 1

Hint: As we know that the area of a rectangular sheet is given as follows:
Area \[=l\times b\] where l is the length of the sheet and b is the breadth of the sheet. Then we will multiply this area with the number of sections.

Complete step-by-step answer:
We have been given the sheet measuring \[75cm\times 40cm\] for making the poster.
As we know that area \[=l\times b\] where l is the length of the sheet and b is the breadth of the sheet. Then we will multiply this area with the number of sections.
We have l = 75 cm and b = 40 cm.
So, area \[=l\times b=75\times 40=3000c{{m}^{2}}\].
Hence the area of one sheet that has been provided to each section is equal to \[3000c{{m}^{2}}\].
Since it is given that there are a total nine sections of the class and each section is provided with the same sheet.
So, total area of sheet \[=9\times 3000=27000c{{m}^{2}}=2.7\times 10000=2.7\times {{10}^{4}}c{{m}^{2}}\].
Therefore, the total area of the sheet that has been provided to the students is equal to \[2.7\times {{10}^{4}}c{{m}^{2}}\].

Note: After we get the answer, don’t forget to change it in the exponential form and be extremely careful while changing it. Also, take care of the unit of the area.