Question

Length of a rectangle is 4x^2 + 12x and the area of the rectangle is 24x^4 + 72x^3, what is the width of the rectangle.

Answer 1

Width of rectangle is $6x^2$

Step-by-step explanation:

Length of rectangle = 4x^2+12x

Area of rectangle = 24x^4+72x^3

Width of rectangle = ?

Finding width of rectangle by using formula:

$Area = Length*Width$

$Width= \frac{Area}{Length}$

$Width=\frac{24x^4+72x^3}{4x^2+12x} \\Width=\frac{24x^3(x+3)}{4x(x+3)}\\Width=\frac{24x^3}{4x}\\Width=6x^2$

So, width of rectangle is $6x^2$

Keywords: Area of Rectangle

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