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
Vikki [24]
3 years ago
9

The length of a rectangle is 4 ya more than twice the width x. The area is 510 yd^2. Find the dimensions of the given shape

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Answer:

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

Step-by-step explanation:

Given:

The shape is of rectangle,

Width of rectangle = x

Area of rectangle = 510 yd²

According to the given condition

Length of rectangle = 4 + 2x

To Find:

length =?

Width = ?

Solution:

We know that,

\textrm{Area of rectangle} = Length\times Width

On substituting the given values we get

510 = (4 + 2x)\times x\\510 = 4x+2x^{2}\ \textrm{using distributive property}\\\textrm{dividing throughout by two}\\255=2x+x^{2} \\\\x^{2} +2x -255 = 0\\

Which is a quadratic equation so we will apply splitting the middle term that is factorization we get

∴ x^{2}+ 17x -15x -255=0\\x(x+17)-15(x+17)=0\\(x-15)(x+17)=0\\\therefore x-15 =0\ or\ x+17=0\\\\\textrm{x cannot be negative i.e -17}\\\therefore x=15

∴ Width  x = 15 yard

∴ Length = 4 + 2x = 4 +2 × 15 = 34 yard

The dimensions of the rectangle are

length = 34 yards

width = 15 yards

You might be interested in
4.) The graph below shows that the cost of bananas depends on the number of pounds
Alina [70]

Answer: B.$1.25

Step-by-step explanation: 10 divided by 1.25= 8 pounds

8 0
3 years ago
Read 2 more answers
Find the unknown size <br>please I really need answers ​
katen-ka-za [31]

Answer:

z=80°<em><u>(</u></em><em><u>corresponding</u></em><em><u> </u></em><em><u>angles)</u></em>

<em><u>x+z=180°(linear \: pair \: ) \\ 80°  + x = 180°  \\ x= 100°</u></em>

<em><u>y=</u></em><em><u>100 </u></em><em><u>° </u></em><em><u>(</u></em><em><u>alternate</u></em><em><u> </u></em><em><u>angles</u></em><em><u>)</u></em>

<h2><em><u>Hope </u></em><em><u>it </u></em><em><u>helps</u></em><em><u> you</u></em><em><u><</u></em><em><u>3</u></em></h2>
8 0
2 years ago
CR 27 campers this is 9 times as many as the number of counselors how many consoles are there
ycow [4]
 243 counselors will be there
6 0
3 years ago
If f(x)=-9x-3, find f(-5)
Andrews [41]

Answer:

42

Step-by-step explanation:

f(-5) = -9 × (-5) - 3 = 45 - 3 = 42

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

5 0
3 years ago
Combine like terms. 8x-x
Lelu [443]
[tex]8x - x \\ 8 (0)


hope this help
brainliest plz
4 0
2 years ago
Read 2 more answers
Other questions:
  • Consider a job that pays $100,00 per year federal income tax is 19% and state income tax is 7% what is the annual total of the r
    6·1 answer
  • Which scenario is best represented by the graph below?
    8·1 answer
  • In England, mass is measured in units called stones. One pound equals 1/14 of a stone. A cat weighs 3/4 stone. How many pounds d
    8·1 answer
  • Ryan has $40 in the bank. He writes
    5·1 answer
  • The dance committee has a budget of $125 to decorate the gym for the spring dance. They have already spent $65. Some members wan
    6·1 answer
  • What is the mean absolute deviation of 10, 5, 7, 10, 19, 32, 25?​
    9·1 answer
  • Can you help me please​
    12·1 answer
  • Which of these numbers lines is the X-axis?​
    5·2 answers
  • HELP PLEASE ASAPPP !!
    5·2 answers
  • Factor completly. do not answer if you dont know it please!! ill give u brainliest
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!