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2 years ago

Sarah used 3.25 meters of fabric to make a costume. How many centimeters of fabric did she use?

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

5 0

Answer:

325 centimeters

Step-by-step explanation:

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What are the diameters of the painting? Easy!!!

zalisa [80]

x = 10.22 in

Solution:

Width of the figure = x in

Length of the figure = (2x + 5) in

Area of the figure = 260 in²

To find the value of x:

Area of the figure = length × width

length × width = 260

(2x + 5) × x = 260

$2x^2+5x=260$

Subtract 260 from both sides of the equation.

$2x^2+5x-260=0$

Factor the above quadratic expression.

Quadratic equation formula:

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$$x=\frac{-5 \pm \sqrt{5^{2}-4 \cdot 2(-260)}}{2 \cdot 2}$

$$x=\frac{-5 \pm \sqrt{2105}}{4}$

$$x=\frac{-5+\sqrt{2105}}{4}, \ x=\frac{-5-\sqrt{2105}}{4}$

x = 10.22, x = –12.72006

Dimension of the figure cannot be measured in negative terms.

Hence x = 10.22 in.

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