Question

Q. The length of a rectangle is two times its breadth. Its perimeter is 60cm.
(a) If the breadth of rectangle is x cm, the length of the rectangle is_______.
(b) Perimeter in terms of x is______.
(c) The equation formed is________.
(d) The solution of the equation is________.
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Answer 1

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• (a) 2x cm will be the length
• (b) 2 (x+2x)
• (c) 2 (x+2x)= 60cm

(d) 2 (x+2x)=60

• x+2x=$\frac{60}{2}$
• 3x=30
• x=$\frac{30}{3}$
• x= 10

So the breadth is 10 cm and length will be 20cm

So, 2 (10+20)cm = 60cm

Hence proved

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Answer 2

Concept Introduction:

A closed route that covers, encircles, or outlines a one-dimensional length or a two-dimensional form is called a perimeter.

Given, that the length of a rectangle is two times its breadth. Its perimeter is $60$ cm.

To find, the length and the breadth of the rectangle.

Solution:

a) $2x$ cm will be the length

(b) $2 (x+2x)$

(c) $2 (x+2x)= 60$ cm

(d) $2 (x+2x)=60$

$x= 10$

So the breadth is $10$ cm and the length will be $20$ cm

So, $2 (10+20)$ cm = $60$ cm

Final Answer:

The final answer is $x = 10$

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