Answered

Get insightful responses to your questions quickly and easily on IDNLearn.com. Find in-depth and accurate answers to all your questions from our knowledgeable and dedicated community members.

Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the same amount of vegetables. The rectangular garden will have a length that is 2 times the length of the square garden, and the width of the new garden will be 16 feet shorter than the old garden. The square garden is x feet by x feet. What is the quadratic equation that would model this scenario? x2 = (2x)(x – 16) x2 = (x)(x – 16) x2 = (x)(x 16) x2 = (2x)(x 16).

Sagot :

AshishdwivedilVTidn

The quadratic equation that would model this scenario is

[tex]x^{2} = 2x(x-16)[/tex]

Let us take the side of the square = x

Area of the square = x²

Length of the rectangular garden = 2x

Width of the rectangular garden = x-16

So, the area of the new vegetable garden = length*width

Area of the new or rectangular vegetable garden = 2x(x-16)

What is a quadratic equation?

The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by [tex]ax^2+bx+c[/tex]coefficient [tex]x^{2}[/tex]non-zero.

Since it is given that

Area of square garden = area of the rectangular garden

[tex]x^{2} = 2x(x-16)[/tex]

Thus, the quadratic equation that would model this scenario is

[tex]x^{2} = 2x(x-16)[/tex]

To get more about quadratic equations refer to:

https://brainly.com/question/1214333

Tkachukseidn

Answer:

Simple answer is A

Step-by-step explanation:

We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.