Question

The length of a rectangular plot is three times its width, the area of the plot is 9408sq. meter, what is the length of the plot.

Answer 1

Given :

• The length of a rectangular plot is three times its width.
• the area of the plot is 9408 m²

To find out :

what is the length of the plot.

Formula used:

Area of rectangle = Length × Breadth

Solution:

Let the width be x

Then length= 3x

According to question:

Area of rectangle = Length × breadth

9408= 3x × x

9408 = 3x²

x²= 9408/3

x²= 3136

x = 56

∴ The length of the plot = 3x = 3×56 = 168.

Knowledge Enhancer:

• Area of square = (Side)²

• Area of Triangle = 1/2 × Base × Height

• Area of parallelogram = Base × Altitude

• Area of circle = πr²

• Area of trapezium = 1/2 (Sum of parallel sides) × Height

Answer 2

Given:

• The length of a rectangle plot is three times its width.

• The area of the plot is 9408m²

To find out:

What is the length of the plot.

Formula used:

Area of rectangle = Length × Breadth

Solutions:

Let the width be x

Then length = 3x

A.T.Q

Area of rectangle = Length × Breadth

9408 = 3x × x

9408 = 3x²

x² = 9408/3

x² = 3136

x = 56

The length of the plot = 3x = 3 × 56 = 168

Knowledge Enhances:

• Area of square = (side)²

• Area of triangle = 1/2 × base × height

• Area of parallelogram = base × altitude

• Area of circle = πr²

• Area of trapezium = 1/2(sum of parallel side) × height.

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