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
What is the value of one divided by zero?
Soloha48 [4]

Answer:

5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The radius of a sphere is 13 cm. What is the surface area of the sphere? Round to the nearest tenth
AlekseyPX

Answer:

2123.72 cm²

Step-by-step explanation:

Hope it helps

3 0
3 years ago
Which of the following are identities? Check all that apply.
Genrish500 [490]

Answer:

B and C and D

Step-by-step explanation:

This will help,

7 0
3 years ago
Read 2 more answers
What is the sokution of -(x)=-8
7nadin3 [17]

Answer:

x = 8

Step-by-step explanation:

Given

- x = - 8 ( multiply both sides by - 1

- x × - 1 = - 8 × - 1, that is

x = 8

3 0
3 years ago
Read 2 more answers
Someone help me with this ASAP
Archy [21]

Answer:

1:6

3/5×2=6/10

2:14

21÷3=7

2×7=14

8 0
3 years ago
Read 2 more answers
Other questions:
  • How do I solve for f of f
    9·1 answer
  • <img src="https://tex.z-dn.net/?f=%20%5Clim_%7B%28x%2Cy%29%20%5Cto%20%5C%20%280%2C0%29%7D%20%28x%5E4%20%2By%5E3%29%2F%28x%5E4%20
    11·1 answer
  • Although the earth's orbit about the sun is elliptical, the average distance from the earth to the sun is approximately 93 milli
    12·2 answers
  • Geo has 3 orange picks for every 2 green if there are 25 picks in all how many picks are orange
    13·2 answers
  • Renee is in charge of the school carnival for 380 students. She has 47 boxes of prizes. Each box has 22 prizes. She wants to mak
    14·2 answers
  • In 2007, the first iPhone was priced at $599. Today the iPhone 11 is priced at $999 . What is the percent change in the cost.
    5·1 answer
  • Find the distance using the modulus of the difference between z1 = -8 + 3i and z2 = 7 - 4i. Show all work for full credit.
    6·2 answers
  • A coffee shop orders 212 boxes of coffee each bag month if there are 68 bags of coffee age box about how many bags of coffee do
    8·1 answer
  • I need help with all these problems and need to know is the ones I did correct
    7·1 answer
  • For exercises 1-4. use the drawing and an inch ruler to find the actual length and width of each section of the park. Measure to
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!