Question

The area of a rectangular plot is 528 m^. The length of the plot ( in meters) is one more than twice it's width.

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Answer 1

Given:

• The area of a rectangular plot is 528 sq.m .
• The length of the plot is one more than twice it's width.

To Find:

The dimensions of the rectangular plot.

Assumption:

• Let the width be x and length be 1 + 2x .

Formula:

Area of a rectangle = Length × Breadth

Step-By-Step Explanation:

Area = ( 2x + 1 )x = 528

Area = 2x^2 + x = 528

Area = 2x^2 + x - 528 = 0

Area = 2x^2 - 32x + 33x - 528 = 0

Area = x ( 2x - 33 ) + 16 ( 2x - 33 )

Area = ( 2x - 33 ) ( x - 16 )

Answer:

Length = 33/2 = 16.5 m

Width = 16 m

Answer 2

Answer:

let w = x

then L = 2x+1

then Area = w*L

= x(2x+1)

or

x(2x+1) = 528

2x^2 + x - 528 =0

by solving x = 16

or. w = 16

&. L = 2*16 + 1 = 33