Question

Length of a rectangular plot is twice its width. of perimeter of the plot is 300 metres, find area​

Answer 1

Appropriate question

Length of a rectangular plot is twice its width. If perimeter of the plot is 300 metres, find area

Given :

• Length of a rectangular plot is twice its width
• Perimeter of the rectangular plot = 300 m

To find :

• Area of the rectangular plot

Solution :

Let the

• Width of the rectangular plot = x
• Length of the rectangular plot = 2x

Using formula,

Perimeter of rectangle = 2(l + b)

where,

• l = length of the rectangle
• b = breadth of the rectangle

Substituting the given values,

⇒ 300 = 2(x + 2x)

⇒ 300/2 = x + 2x

⇒ 150 = 3x

⇒ 150/3 = x

⇒ 50 = x

The value of x = 50

The dimensions of the rectangular plot :-

• Length of the rectangular plot = 2x = 2 × 50 = 100 m
• Breadth of the rectangular plot = x = 50 m

Using formula,

Area of rectangle = length × breadth

Substituting the given values,

⇒ Area = 100 × 50

⇒ Area = 5000

Area of the rectangular plot = 5000 m²

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Some related formulae :-

• Diagonal of rectangle = √l² + √b²
• Area of square = side × side
• Perimeter of square = 4 × side
• Diagonal of square = √2a
• Total surface Area of cuboid = 2(lb + bh + hl)
• Volume of cuboid =  length × breadth × height
• Perimeter of cuboid = 4 (length + breadth + height)
• Total surface area of cube = 6 × side²
• Volume of cube = side³
• Perimeter of cube = 12 × side