Question

The width of rectangle is half of its length if perimeter of rectangle is 240cm .find its width​

Answer 1

Answer:

width is 40cm

Step-by-step explanation:

Let length=2a

width=a

Perimeter=2(l+b)

240=2(2a+a)

240=2×3a

240=6a

a=40

Answer 2

GIVEN:-

• Width(w) of the rectangle = Half of the length(l) of the rectangle.
• Perimeter of the rectangle = 240 cm.

TO FIND:-

• The width of the rectangle.

SOLUTION:-

Suppose the width of the rectangle be x.

∴ Length of the rectangle = $\bf\red{2x}$ [∵ Stated in the question that width is half of the length]

$☯ \begin{gathered}\underline{\boldsymbol\color{teal}{According\: to \:the\: formula :}} \\\end{gathered}$

$\huge \green \bigstar \huge\boxed{ \sf{ \gray{Perimeter = 2(l + w)m }}}$

$\huge\therefore \: \sf \color{purple}{240 = 2(2x + x )}$

$: \large \implies \sf \gray{240 = 2(3x) }$

$: \large \implies \sf \gray{240 = 6x}$

$: \large \implies \sf \gray{6x = 240}$

$: \large \implies \sf \gray{x = \cancel\dfrac{240}{6} }$

$: \large \implies \sf \pink{x = 40 \: cm}$

ANSWER:-

• The width of the rectangle is 40 cm.