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
Gelneren [198K]
3 years ago
9

The length of a rectangle is 7 inches longer than it is wide. If the area is 20 square inches, what are the dimensions of the re

ctangle?
Mathematics
2 answers:
Arada [10]3 years ago
4 0

Area of a rectangle is length x width.

Let the width = x

The length would be x +7. ( 7 inches longer than the width)

Area = 20

Set up the formula:

20 = x * x+7

Simplify the right side:

20 = x^2 + 7x

Subtract 29 from both sides:

X^2 + 7x -20 = 0

Solve using the quadratic equation

X = -b + sqrt(b^2 -4ac) / 2a

X = -7 + sqrt(7^2-4(1)(-20) / 2(1) (exact answer)

X = 2.178908 ( as a decimal)

The width is 2.178907 inches (round as needed)

The length would be 9.178907 inches ( round as needed.)

Depending on how you round, when you multiply them together you get approximately 20 square inches.

Lelechka [254]3 years ago
3 0

Step-by-step explanation:

<u>Step 1:  Find the dimensions</u>

l = 7 + w

Area = 20

<em>Find width</em>

A = l * w

20 = (7 + w)(w)

20 - 20 = 7w + w^2 - 20

w^2 + 7w - 20 = 0

w=\frac{-(7)\pm\sqrt{(7)^2-5(1)(-20)}}{2(1)}

w = 2.17890...

<em>Find length</em>

l = 7 + w

l = 7 + 2.17890...

l = 9.17890...

Answer: Width = 2.17890..., Length = 9.17890...

You might be interested in
What's the distance between (0,2) and (0,8)?
N76 [4]

Answer:

6 units

Step-by-step explanation:

The distance between two points can be calculated with the formula

\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2}  } }}

However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.

Distance between (0, 2) and (0, 8)

= 8 -2

= 6 units

7 0
2 years ago
What is y greater then or equal to 2x on a graph
Juliette [100K]

Answer:

The minimal number for the objective function P =20x+16y is: 780

The value of x then is: 15

and the value of y then is : 30

Step-by-step explanation:

We are given a system of inequalities as:

y is less than or equal to 2x

i.e.          y ≤ 2x--------(1)

x + y is greater than or equal to 45

i.e.      x+y ≥ 45  ------------(2)    

and    x is less than or equal to 30.    

i.e.               x ≤ 30 -----------(3)    

On plotting these inequalities we get the boundary points as:

        (15,30) , (30,60) and (30,15)    

( Since, the optimal solution always exist at the boundary point )

The optimal function is given by:

 Minimize  P = 20x+16y

Hence, at (15,30) we get:

P= 780

at (30,60) we get:

 P= 1560

at (30,15) we get:

P= 840

This  means that the minimal value of the function is 780

and the value exist at (15,30)

5 0
3 years ago
65 - 2x ≥ 150, whats the answer!!!
Sidana [21]

Answer:

x <= -42.5

Step-by-step explanation:

65 - 2x >= 150

-2x >= 150 - 65

-2x >= 85

2x <= -85

x <= -85/2

x <= -42.5

6 0
2 years ago
Pog help pog pog pog pog pog pog pog pog pog
Luda [366]

Answer:

POG

Step-by-step explanation:

poggers + poggers = POGCHAMP

7 0
3 years ago
Read 2 more answers
Jackson bought 3 pounds of candies for $9.75 What was the price of these candies in dollars per pound?
Stels [109]
9.75 dollars divided by 3 pounds equals 3.25 per pound
8 0
3 years ago
Other questions:
  • An interior automotive supplier places several electrical wires in a harness.Apull test measures the force required to pull spli
    11·1 answer
  • Help please, I have no idea how to do this and I need an answer! Please help!
    11·1 answer
  • Harry collected green balls in a bag he drew two balls , of the five balls ,out of the bag. is this a random sample of windows i
    7·1 answer
  • A sphere has a diameter of 10 inch. What is the volume of the sphere?
    12·1 answer
  • How do you solve this equation for y 5x-10y=-40
    6·1 answer
  • Compare -3 and 9. Which of the following is true?
    5·1 answer
  • Is Y=5x -9 a direct variation?
    7·1 answer
  • Can someone help me plz?
    6·2 answers
  • Maria Reynolds deposits $700.00 onto her new savings account at a
    11·1 answer
  • X-4[x-2(x+6)]=5x+3<br><img src="https://tex.z-dn.net/?f=x%20-%204%20%20%20%5B%20%20x%20-%202%28x%20%2B%206%29%5D%20%20%3D%205x%2
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!