Question

A rectangle has a height of 5 and a width of 4x^2 – 2x – 6.

Answer 1

The area of the rectangle is $20x^{2} -10x-30$ units.

Step-by-step explanation:

Step 1:

The area of a rectangle is obtained by multiplying the length with the width of the rectangle.

Considering this a whole rectangle, the length of the rectangle is 5 units and the width is the sum of $4x^{2}$, $-2x$, and -6.

So the length of the rectangle = 5 units and

the width of the rectangle $= 4x^{2} -2x-6$ units.

The area of a rectangle = (length)(width).

Step 2:

By substituting the known values, we get

The area of the rectangle $= (5) (4x^{2} -2x-6) = 20x^{2} -10x-30.$

So the area of the rectangle is $20x^{2} -10x-30$ units.