Question

the area of a rectangle is given by the expression 2x² -3x +1. find the area of the rectangle for x=8​

Answer 1

Answer:

The length of a rectangle is two more than twice the width. The perimeter is 58ft. What is the area of the rectangle?

Possible Answers:

198ft2

154ft2

180ft2

168ft2

138ft2

Correct answer:

180ft2

Explanation:

For a rectangle, P=2l+2w and A=lw, where l is the length and w is the width.

Let w be equal to the width. We know that the length is equal to "two more than twice with width."

l=2w+2

The equation to solve for the perimeter becomes 58=2(2w+2)+2w.

58=4w+4+2w=6w+4

54=6w

9=w

Now that we know the width, we can solve for the length.

l=2w+2=20

Now we can find the area using A=lw.

Answer 2

area = 2x²-3x+1

2x²-3x+1

2x²-2x-x+1

2x(x-1)-1(x-1)

= (2x-1)(x-1)

substituting x for 8,

(2x-1)(x-1)

{2(8)-1}(8-1)

(16-1)(7)

(15)(7)

=105

hope it helps

have a great day