Question

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?

Answer 1

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

Explanation:

Answer 2

`15x^2+5xy-125=0`

Explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

`l = x√(100) = 10x`

Width of rectangle, w =

`w = (y)/(2) +(3x)/(2)`

Area of rectangle = 125 square cm.

Area of rectangle =

`A =l* w`

Putting values, we get,

`125 = 10x* ((y)/(2)+(3x)/(2))\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0`

is the required equation.