Question

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

Answer 1

the answer is D. man

Answer 2

D.
`(21x2 - 17x + 2)\text{ square units }`

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,

`A=(7x-1)(3x-2)`

`=(7x-1)(3x)-(7x-1)(2)` ( Distributive property )

`=21x^2-3x-14x+2` ( Again by distributive property )

`=21x^2-17x+2`

Hence, Option D is correct.