Question

The length of a rectangular notebook is 15 cm and the perimeter is 50 cm. Find the width and area of the notebook.

• A. $8cm,120c{m}^2$
• B. $9cm,135c{m}^2$
• C. $10cm,150c{m}^2$
• D. $11cm,165c{m}^2$

Answer 1

The correct option is C

$10cm,150c{m}^2$

Let the breadth of the notebook be $ycm$
Length $=15$ cm (Given)
Perimeter $=50$ cm (Given)
Perimeter of the rectangular notebook $=$ Sum of the lengths of its four sides.

$\Rightarrow 50=15+15+y+y$

$\Rightarrow 50=2(15+y)$

$\Rightarrow 25=(15+y)$

$\Rightarrow y=10$

$\therefore$ The width of notebook is $10cm$

Area covered by the notebook $=15cm\times 10cm=150c{m}^2$