question_answer 1)

A table-top measures 2 m 25 cm by 1 m 50 cm. What is the perimeter of the table-top? TIPS Firstly, change all the units in same unit and then find perimeter by using 2 (length + breadth),

Answer:

Given, length of table-top = 2 m 25 cm \[=2m+25\times \frac{1}{100}m\] \[[\because 1cm=\frac{1}{100}m]\] \[=2m+\frac{25}{100}m=2m+0.25m\] \[=(2+0.25)m=2.25m\] Breadth of table-top \[=1\,\,m\,\,50\,\,cm=1\,\,m+50\,\,cm\] \[=1m+50\times \frac{1}{100}m\] \[[\because 1cm=\frac{1}{100}m]\] \[=1m+\frac{50}{100}m=1m+0.50m\] \[=(1+0.50)m=1.50m\] \[\therefore \]Perimeter of table top \[=2\times \] (Length + Breadth) \[=2\times (2.25\text{ }m+1.50\,m)=2\times 3.75m=7.50m\] Hence, the perimeter of the table- top is 7.50 m.