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Karolina [17]
2 years ago
15

The length of a rectangular park is four timesfour times its width. The park is surrounded by a 33​-foot-wide path. Let x denote

the width of the park. Write a quadratic function to represent the total area of the park and the path.
The quadratic function that represents the total area of the park and the path is _____.
​(Simplify your answer. Do not​ factor.)
Mathematics
1 answer:
tiny-mole [99]2 years ago
7 0

Answer:

A(x) = 4x^2 + 330x + 4356

Step-by-step explanation:

width of park: x

length of park: 4x

width + path width = x + 66

length + path width = 4x + 66

area = (x + 66)(4x + 66)

area = 4x^2 + 66x + 264x + 4356

area = 4x^2 + 330x + 4356

A(x) = 4x^2 + 330x + 4356

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Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

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The area of a rectangle is 46 square inches. If the length is 4 times the width, then find the dimensions of the rectangle. Roun
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The dimensions of the rectangles to the nearest hundredth are

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<h3>What is a rectangle?</h3>

A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.

<u>Given data</u>

Area of the rectangle = 46 square inches

length L = 4 * width W

area of a rectangle, A

A = L * W

46 = L * W

46 = 4w * w

46 = 4w^2

w^2 = 11.5

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Read more on areas of rectangles here: brainly.com/question/2607596

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