Question

The length of a rectangular notebook is 35 cm and the perimeter is 100 cm. Find the area of the notebook.

• A. $525c{m}^2$
• B. $325c{m}^2$
• C. $225c{m}^2$
• D. $625c{m}^2$

Answer 1

The correct option is A $525c{m}^2$

Let the breadth of the notebook be $ycm$.
Length = 35 cm (Given)
Perimeter = 100 cm (Given)
The perimeter of the rectangular notebook = Sum of the lengths of its four sides.

$\Rightarrow 100=35+35+y+y$

$\Rightarrow 100=2(35+y)$

$\Rightarrow 50=(35+y)$

$\Rightarrow y=15$

$\therefore$ The width of notebook is $15cm$.

Area covered by the notebook $=35cm\times 15cm$
$=525c{m}^2$