A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but reverse statement may or may not be true.

The area of the rectangle is the product of its length and its width. Therefore, the area of the given rectangle is,

Area = (2x-4)(x+5)

= 2x² + 10x - 4x - 20

= 2x² +6x - 20

Hence, the expression that represents the area of the rectangle is 2x² + 6x − 20. Thus, the correct option is C.

The complete question is:

Write a simplified polynomial expression in standard form to represent the area of the rectangle below.

2x² + 10x + 20
2x² + 6x + 20
2x² + 6x − 20
2x² − 4x − 20

The image of the rectangle is given below.

Learn more about Rectangle:

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3 0

2 years ago

Which figure is a scalene triangle?

Lena [83]

Answer:

Triangle has three sides so u can dismiss 2nd easily

scalene triangle has 2 equal sides

so, 1st is the correct answer

7 0

3 years ago

Read 2 more answers

You and your friend leave your houses at the same time to meet at a restaurant. The distance (in miles) your friend is from the

salantis [7]

Answer:

Thus, the linear equation to represents your distance from the restaurant is given as:

$y=-60x+90$

Step-by-step explanation:

Given:

The distance (in miles) your friend is from the restaurant is given by:

$y=-50x+75$

where $x$ represents the number of hours since your friend left home.

You live 90 miles from the restaurant and arrive at the same time as your friend.

To write a linear equation that represents your distance from the restaurant.

Solution:

From the given linear equation for your friend, we can say that the distance between your friend keeps decreasing as he approaches near the restaurant. The distance will be = 0 when your friend reaches the restaurant.

<em>Thus, we can plugin y=0 to find </em> $x$ <em> i.e.the time in hours taken by your frient to reach the restaurant.</em>

$0=-50x+75$

Adding $50x$ both sides.

$0+50x=-50x+50x+75$

$50x=75$

Dividing both sides by 50.

$\frac{50x}{50}=\frac{75}{50}$

$x=1.5\ hours$

Your friend takes 1.5 hours to reach the restaurant

It is given that you and your friend start at same time and reach the restaurant at the same time. And you are 90 miles from the restaurant initially.

<em>The linear function representing your distance from the restaurant can be given as:</em>

$y=-mx+90$