1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
zheka24 [161]
2 years ago
8

The unshaded area inside the figure to the right is 648 in.² Use this fact to write an equation involving x. Then solve the equa

tion to find the value of x.
Length of rectangle is 40 inches
Width of rectangle is 22 inches
Border inside rectangle is x
Mathematics
1 answer:
FrozenT [24]2 years ago
3 0

The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0.

<h3>How to derive an expression for the area of an unshaded region of a rectangle</h3>

The area of a rectangle (<em>A</em>), in square inches, is equal to the product of its width (<em>w</em>), in inches, and its height (<em>h</em>), in inches. According to the figure, we have two <em>proportional</em> rectangles and we need to derive an expression that describes the value of the <em>unshaded</em> area.

If we know that <em>A =</em> 648 in², <em>w =</em> 22 - x and <em>h =</em> 40 - x, then the expression is derived below:

<em>A = w · h</em>

(22 - x) · (40 - x) = 648

40 · (22 - x) - x · (22 - x) = 648

880 - 40 · x - 22 · x + x² = 648

x² - 62 · x + 232 = 0

The <em>second order</em> polynomial that involves the variable <em>x</em> (border inside the rectangle) and associated to the <em>unshaded</em> area is x² - 62 · x + 232 = 0. \blacksquare

To learn more on polynomials, we kindly invite to check this verified question: brainly.com/question/11536910

You might be interested in
Find the angles of the rhombus if the ratio of the angles formed by diagonals and the sides of the rhombus is 6:5
Lelechka [254]

Answer:

Which Angles are you talking about?

Angles A and B?

Step-by-step explanation:

7 0
3 years ago
What is bigger 0.75 or 1 3/4
Simora [160]
1 3/4 is greater than 0.75 because 1 3/4 is 1.75 and it is greater than 0.75
5 0
3 years ago
8+4(s-4t) simplify the expression. HELP, 20 POINTS
ella [17]
8+ 4s -16t= 4 (2+s-4t)
5 0
3 years ago
-2/5 x -1 1/4 <br> A) -1 1/10<br> B) -1/2<br> C) 1 1/10<br> D) 1/2
Harrizon [31]
The answer would be C b/c negative 2 times 11 is positive 22 and 2negatives equal a positive and then negative 5 times 4 equal 20 it would be 22/20 divide be top and bottom by 2 and you get your answer .
4 0
2 years ago
Help please it’s important!!
bixtya [17]
2

Here is the explanation: 2 (17x+2)
5 0
2 years ago
Other questions:
  • Y= 0.216 x + 32.575<br> what is the slope
    5·2 answers
  • What is 8.24 written as a percent?
    7·2 answers
  • I NEED HELP!!! I DONT KNOW WHAT TO DO!
    15·2 answers
  • Como simplificar 50/100
    6·1 answer
  • Mathemat
    11·1 answer
  • Time Limit!
    14·1 answer
  • Heeelpppppp Meeeee!!!1 will give brainliest<br> Stay Safe and at home
    9·1 answer
  • how many different vehicles are possible if you choose one each of 2 transmissions 7 body styles and 4 engines
    7·1 answer
  • Harry was given an assignment. He had 42 days to get 336 tasks done at work.
    12·1 answer
  • Click an item in the list or group of pictures at the bottom of the proble correct position in the answer box. Release your mous
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!