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
arlik [135]
3 years ago
10

A rectangle and a square have the same area. a. The width of the rectangle is w inches. The length of the rectangle is 15 inches

less than 4 times the width of the rectangle. Write a polynomial to represent the area of the rectangle. b. The side of the square is w inches. Write a polynomial to represent the area of the square. c. Write an equation such that the area of the rectangle is equal to the area of the square. d. Solve the equation in part (c) to find the side length of the square. e. What are the length and the width of the rectangle?
Mathematics
1 answer:
harkovskaia [24]3 years ago
4 0

9514 1404 393

Answer:

  a) w(4w-15)

  b) w²

  c) w(4w -15) = w²

  d) w = 5

  e) 5 by 5

Step-by-step explanation:

a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.

  A = w(4w -15)

__

b) If w is the side length, the area of the square is (also) the product of length and width:

  A = w²

__

c) Equating the expressions for area, we have ...

  w(4w -15) = w²

__

d) we can subtract the right side to get ...

  4w² -15w -w² = 0

  3w(w -5) = 0

This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.

The side length of the square is 5 units.

__

e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.

The rectangle and square have the same width and the same area, so the rectangle must be a square.

You might be interested in
Find the equation of a line with slope 1/2 through the point (10,12)
mihalych1998 [28]

Answer:

x-2y+14=0

Step-by-step explanation:

Slope \:( m) =\frac{1}{2}

(x_1 \:y_1) =(10, \:12)

Equation of line in point slope form is given as:

y-y_1 =m(x-x_1)

Plugging the values of m and (x_1 \:y_1), we find:

y-12=\frac{1}{2} (x-10)

2y-24=x-10

0=x-10-2y+24

x-2y+14=0

This is the required equation of line.

5 0
2 years ago
Is 4x=2(2x-2) A no solution or one solution or infinite solution
maxonik [38]

Answer:

no solution

Step-by-step explanation:

2 x 2x, 2 x -2, you now have 4x=4x-4, subtract 4x and 4x and you are left with -4

3 0
2 years ago
What percent of 130 is 182
Greeley [361]
The answer is 140 percent
6 0
3 years ago
Based on the scores in the chart below which restaurant is the best choice for the dinner tonight and why
masha68 [24]

Answer:

B

Step-by-step explanation:

Ku's since it has the highest score with +12

6 0
3 years ago
30PTS<br> ASAP: BRAINLEST FOR BEST ANSWER!<br><br><br><br><br> im stupid xD
Elena L [17]

Answer: $200-$75=$125

7 0
2 years ago
Read 2 more answers
Other questions:
  • Will give brainliest!
    6·2 answers
  • Are these right please help bc I’m on my last attempt.
    5·1 answer
  • −1.26×n=−10.08<br> n=?<br> lololololololololololol
    9·1 answer
  • Complete the square<br> x2 - 6x +____<br> 7 = -13+____
    11·2 answers
  • A student scored a 98 86 93 and 75 in math fot the quarter what is the students math average for the quater
    12·2 answers
  • Which trinomial is equivalent to 3(x-2)^2 -2(x-1)?
    6·1 answer
  • ANSWER ASAP!! DUE SOON! ONLY ANSWER IF YOU ARE CORRECT, I CANNOT GET THIS WRONG!!!
    14·1 answer
  • Solve the equation.
    9·1 answer
  • Janine borrowed $80 from her parents for a new headset of headphones she paid them $20 right and integer to represent how much s
    6·1 answer
  • Find the area of the circle and enter your answer below. Leave Pl in the answer (do not multiply by Pl) Area = πm2 15 m​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!