Question

The length of a rectangle is twice its width. The perimeter is 60cm. Find its area?

Answer 1

Answer:

200 sq. cm

Step-by-step explanation:

Let the width is X cm then the length will be 2X.

Perimeter = 2( l + b)

or, 60 cm = 2(2X+X)

or, 6X = 60 cm

or, X = 60/6 = 10

So the length = 2x10 = 20cm and width = 10 cm.

Now the area of rectangle = length X width

or, 20 cm X 10 cm

or, 200 sq. cm

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Answer 2

Given :-

• the length of a rectange is 2 times than it breadth
• Perimeter of Rectangle = 60cm

To Find :-

• Area of Rectangle

Solution :-

⟾ Let the Breadth of Rectangle be x

⟾ Then Length of Rectangle will be 2x

According to the Question :

➞ Perimeter of Rectangle = 2 ( L + B )

➞ 60 = 2 ( 2x + x )

➞ 60 / 2 = 2x + x

➞ 30 = 2x + x

➞ 30 = 3x

➞ 30 / 3 = x

➞ 10 = x

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Therefore :

• Length = 2x = 2 × 10 = 20cm
• Breadth = x = 10cm

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⟹ Area of Rectangle = Length × Breadth

⟹ Area of Rectangle = 20 × 10

⟹ Area of Rectangle = 200cm²

Thus Area of Rectangle is 200cm²

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★ Additional Info :

Formulas Related to Rectangle:

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

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