Perimeter from Area

Geometry Level 1

The length of a rectangle is three times of its width. If the area of the rectangle is 300 m 2 300 \text{ m}^2 , what is the perimeter of the rectangle (in m \text{m} )?


The answer is 80.

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Chung Kevin by Chung Kevin , 45, Australia

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2 solutions

Emmanuel David
Mar 29, 2015

Application of Quadratic Equation

1 Helpful 0 Interesting 0 Brilliant 0 Confused

L e n g t h × W i d t h = A r e a Length \times Width = Area

3 x × x = 300 3x \times x = 300

3 x 2 = 300 3x^2 = 300

x 2 = 100 x^2 = 100

x = 100 x = \sqrt {100}

x = 10 x = 10

So, width = 10 m ( x ) (x) and length = 30 m ( 3 x ) (3x)

P e r i m e t e r = 2 × ( l e n g t h + w i d t h ) Perimeter = 2 \times (length + width)

= 2 × ( 30 + 10 ) = 2 \times (30 + 10)

= 2 × 40 = 2 \times 40

= 80 = \boxed{80}

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Yay! Thanks for writing a solution :)

Chung Kevin - 6 years, 2 months ago

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You're welcome :)

Irvan Ary Maulana Nugroho - 6 years, 2 months ago

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