A rectangle has sides measuring (4x + 5) units and (3x + 10) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

Question

A rectangle has sides measuring (4x + 5) units and (3x + 10) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (4 points)

Part B: What are the degree and classification of the expression obtained in Part A? (3 points)

Part C: How does Part A demonstrate the closure property for polynomials? (3 points)

bnmccarter · Answer

i really need some help:/

jhonyy9 · Answer

you need to know formula for area of a rectangle

A = length × width

Joe348 · Answer

Part A:

$$Area= Length \times Width$$

$$Area= (4x+5)(3x+10)$$
$$Area=12x^2+55x+50$$

jayyfrom1600 · Answer

Area of reactangle = (4x + 5)(3x + 10)

⇒ Area of recangle = 4x(3x) + 4x(10) + 5(3x) + 5(10)

⇒ Area of rectangle = 12x^2 + 40x + 15x + 50

⇒ Area of rectangle = 12x^2 + 55x + 50

Hence, the expression which reprents the area of rectangle is 12x^2 + 55x + 50.