mercedesamatap21hx0
contestada

please help Find the area of the rectangle by multiplying its length and width.


(7x-1) width (3x-2) length


A.

(21x2 + 11x + 2) square units

B.

(21x2 − 11x + 2) square units

C.

(21x2 + 2) square units

D.

(21x2 − 17x + 2) square units

Respuesta :

5naka

the answer is D. man

Answer:

D.  [tex](21x2 - 17x + 2)\text{ square units }[/tex]

Step-by-step explanation:

Given,

The length of the rectangle = (7x-1) unit,

Its width = (3x-2) unit,

We know that,

The area of a rectangle = Length × Width

So, the area of the rectangle,

[tex]A=(7x-1)(3x-2)[/tex]

[tex]=(7x-1)(3x)-(7x-1)(2)[/tex]  ( Distributive property )

[tex]=21x^2-3x-14x+2[/tex]     ( Again by distributive property )

[tex]=21x^2-17x+2[/tex]

Hence, Option D is correct.