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hichkok12 [17]
3 years ago
11

3.

Mathematics
1 answer:
zhenek [66]3 years ago
5 0

Answer:

A)

Step-by-step explanation:

length = x +x + 2 = 2x + 2

Width = 2+ x

Area of rectangle = length *width

(x +2)(2x + 2) = 110

Use FOIL method

x*2x + x*2 + 2*2x + 2*2 = 110

2x² + <u>2x + 4x</u> + <u>4 - 110</u> = 0   {Combine like terms}

2x² +6x - 106 = 0

a = 2 ; b = 6 ; c = -106

b² - 4ac = 6² - 4*2*(-106)

             = 36 + 848

             = 884

\sqrt{b^{2}-4ac}=\sqrt{884}= 29.73

x =\dfrac{-b+\sqrt{b^{2}-4ac}}{2a} \ ; \ x==\dfrac{-b-\sqrt{b^{2}-4ac}}{2a}\\\\x = \dfrac{-6+29.73}{2*2} \ ; \ x =\dfrac{-6-29.73}{2*2} \ this \ is \  ignored \ as \ it \ is \  negative\\\\x=\dfrac{23.73}{4};

x = 5.93 m

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Remark

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