Respuesta :
Answer:
You can use option (D) to find the area of rectangle
(D) y = - x²+32x
Step-by-step explanation:
If you can substitute your values you can find your answer
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The expression for the given rectangle with width x and area y is[tex]y = -x^{2} +32[/tex]
it is given that
area of the rectangle = y
width of the rectangle = x
so the length of the rectangle will be = area/width = [tex]\frac{y}{x}[/tex]
perimeter = 64
What is the perimeter of a rectangle?
Perimeter is the sum of all four sides of the rectangle.
we can say that,
2(length + breadth) = 64
[tex]2( \frac{y}{x} + x)=64\\\\[/tex]
[tex]\frac{y}{x} + x= 32[/tex]
[tex]\frac{y + x^{2} }{x} = 32[/tex]
[tex]y+x^{2} = 32x[/tex]
[tex]y = -x^{2} +32[/tex]
therefore, the expression for the area of the rectangle,
[tex]y = -x^{2} +32[/tex]
to get more about rectangles refer to the link,
https://brainly.com/question/25292087