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The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the area of the rectangle is 125 cm2, formulate an equation to represent the rectangle in terms of x and y?

Respuesta :

Answer:

[tex]15x^2+5xy-125=0[/tex]

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

[tex]l = x\sqrt{100} = 10x[/tex]

Width of rectangle, w =

[tex]w = \dfrac{y}{2} +\dfrac{3x}{2}[/tex]

Area of rectangle = 125 square cm.

Area of rectangle =

[tex]A =l\times w[/tex]

Putting values, we get,

[tex]125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0[/tex]

is the required equation.

UniverseTM

Answer:

The user before me has the right answer : 15x2 + 5xy = 125

Step-by-step explanation:

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