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Write an equation to model this proportional relationship, where x represents the length of the rectangle and y represents the width of the rectangle.

Sagot :

When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle.

[tex]x\propto \frac{1}{y} [/tex]

We know that the area of a rectangle is given by the product of the length and width of the rectangle.

Area = Length*Width

In this given problem,

The length of the rerectanglctangle is represented by x

and the width of the rectangle is represented by y

If the area of the rectangle is represented by A now.

So by the formula,

A = x*y

When A is constant then,

x = A/y

[tex]\therefore x \propto \frac{1}{y}[/tex]

So from the above calculation we can conclude that about relation between length and width that,

"When Area of rectangle is constant, then the length x is inversely proportional to the width y of the rectangle."

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