Question

How would you express the area of the rectangle using the Distributive Property?

Answer 1

Answer:

C. 3(x + 5)

Step-by-step explanation:

area of rectangle = length * width = width * length

A = area of largest rectangle

a1 = area of left rectangle

a2 = area of right triangle

The largest rectangle is made up of the the two smaller rectangles.

A = a1 + a2

Left rectangle: a1 = WL = 3x

Right rectangle: a2 = WL = 3 * 5

Total area of the two small rectangles:

A = a1 + a2 = 3x + 3 * 5

Apply the distributive property in reverse to 3x + 3 * 5 by factoring out a 3:

A = 3x + 3 * 5 = 3(x + 5)

The area of the largest rectangle is 3(x + 5)

We can also find an expression for the area of the largest rectangle directly by looking at its length and width.

The length of the largest rectangle is x + 5.

The width of the largest rectangle is 3.

A = WL

Substitute 3 for W, the width.

Substitute x + 5 for L, the length.

A = 3(x + 5)

Answer: C. 3(x + 5)

Answer 2

Answer:

C

Step-by-step explanation:

Step 1: Find your legth and width

Length = x + 5

Width = 3

Step 2: Use area formula to find area

l x w = A

(x + 5) x 3 = A

A = 3(x+5)

Step 3: Therefore Statement

Thereforethe answer to the question is C. 3(x+5)