Question

A rectangle has a height of 4x and a width of 3+1.
Express the area of the entire rectangle.
Expression should be expanded.
​

Answer 1

Answer:

The area of the rectangle = (12x + 4x) square units.

Simplified form = 16x square units

Step-by-step explanation:

Given:

Height of the rectangle = 4x

Width of the rectangle = 3+1.

Area of the rectangle = Length × Width

Here Length is equal to the height of the rectangle.

So, plug in Length = 4x and width = 3 + 1

The area of the rectangle = 4x × (3 +1)

= 4x(3) + 4x(1)

= (12x + 4x) square units

So, the area of the rectangle = (12x + 4x) square units.

We can simplify 12x + 4x because they are like terms.

= 16x square units.