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Nastasia [14]
3 years ago
9

A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used

to find w, the width of the rectangle.

Mathematics
2 answers:
antoniya [11.8K]3 years ago
7 0

Answer: Value of w is 4 units and the equation is correct.

Step-by-step explanation:

Let width of a rectangle be 'w'.

Let length of a rectangle be '2w+2'.

Since we have given that

Area of rectangle = 40 square units.

As we know the formula for "Area = Length × Breadth" :

So, it becomes,

40=w(2w+2)\\\\40=2w^2+2w\\\\20=w^2+w\\\\w^2+w-20=0\\\\w^2+5w-4w-20=0\\\\w(w+5)-4(w+5)=0\\\\(w+5)(w-4)=0\\\\either\ w=-5\ or\ w=4

But dimension can't be negative.

So, w must be 4 units.

Hence, Value of w is 4 units and the equation is correct.

barxatty [35]3 years ago
5 0
I hope this helps you

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So we see that by doubling the dimensions we multiply the volume by a factor of 8.  Let's do that for your volume, 3.5 m^3

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3 years ago
Triangle DEF is a dilation of triangle ABC with scale factor 2. In triangle ABC, the largest angle measures 82∘. What is the lar
uysha [10]

Answer:

Option 2) 82°

Step-by-step explanation:

The dilation means the enlargement of the figure or reduction in the size of the figure.

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But what ever be the case,

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3 years ago
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Answer:

C) The cost increases $2.50 for every additional pair of shoes rented.

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2 years ago
What are the solutions to the equation y² + 16 = 212?
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Volgvan
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5 0
3 years ago
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