# The area of a garden is 160m squared suppose the length of the garden is 3m more than twice its width. what is the length of the garden ?

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by Kiele

• Brainly User
2015-09-02T00:58:46+08:00

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Let width = x
length = 2x + 3
area = 160 sq meter

Equation:  A = (L) (W)
160  = (2x + 3) (x)
160 = 2x² + 3x

Rewrite as quadratic equation in this form:
2x² + 3x - 160 = 0

This can not be solved by factoring, extracting square root, or completing the square because it has irrational roots.

The only solution is quadratic formula:
a = 2;  b=3;  c = -160

x = -b +or- √ b² -4ac   Note: b²-4ac is under the radical symbol for square root
2a

x = -3 + or 1 √9 - 4(2) (-160)
4

x = -3 + or - √9 + 1289
4

x = -3 + or - √1289
4

x = -3+ √1289       or          x = -3-√1289
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