Question

*If the perimeter of a rectangle is 60 cm and the width is half the length of the rectangle,what is the length of the rectangle?*

1️⃣ 30 cm
2️⃣ 20 cm
3️⃣ 10 cm
4️⃣ 60 cm​

Answer 1

Answer:

Correct Answer :- 10 CM ✔

Step-by-step explanation:

Let length = let length = 2x

and breadth = x

perimeter of rectangle = 2(1+b)

60 = 2(2x+x)

60/2 = 3x

30/3 = x

10 = x

1 = 2 x 10=20 cm

b = 10cm

Thank you❤

Answer 2

$\mathfrak{ \large{ \blue{ \underline{ \pink{ Correct \: question: }}}}}$

If the perimeter of a rectangle is 60 cm and the width is half the length of the rectangle,what is the length of the rectangle?*

a) 30 cm

b) 20 cm

c) 10 cm

d) 60 cm

$\mathfrak{ \large{ \blue{ \underline{ \pink{ To\:Find : }}}}}$

• Length of rectangle

$\mathfrak{ \large{ \blue{ \underline{ \pink{ Solution: }}}}}$

• Perimeter of rectangle = 60 cm
• Let the length of rectangle = x
• Let the breadth (width) of rectangle = x/2

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \mathfrak{ \underline{ \green{ Formula\: to\: calculate\: perimeter\: of\: rectangle}}}$

$\boxed{ \boxed{ \mathfrak{ \red{perimeter = 2(length + breadth)}}}}$

According to question,

$\large{ \sf \implies \: \: \: \: \: \: \: \: \: \: \: 2(x + \frac{x}{2} ) = 60}$

$\large{ \sf \implies \: \: \: \: \: \: \: \: \: \: \: \frac{2x + x}{2} = \frac{60}{2} }$

$\large{ \sf \implies \: \: \: \: \: \: \: \: \: \: \: \frac{3x}{2} = \frac{60}{2} }$

$\large{ \sf \implies \: \: \: \: \: \: \: \: \: \: \: x = \frac{60 \times \cancel2}{ \cancel2 \times 3} }$

$\large{ \sf \implies \: \: \: \: \: \: \: \: \: \: \: \boxed { \tt{ \purple{ \underline{ x = 20 \: cm}}}}}$

$\mathfrak{ \large{ \blue{ \underline{ \pink{ Hence: }}}}}$

• The length of rectangle is 20 cm

$\therefore \: \: \rm { \underline{The\: correct\: option\: is\: (b)}}$