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
Trava [24]
1 year ago
11

The length of a rectangle is 7 more than the width. The area is 744 sqaure yards, find the length and width of the rectangle​

Mathematics
1 answer:
AVprozaik [17]1 year ago
8 0

Answer:

  • Length of rectangle is 31 yards and Width is 24 yards.

Given:

  • The length of a rectangle is 7 more than the width.
  • The area is 744 sqaure yards

Solution:

Let's assume Width of rectangle be x and Length of rectangle be x + 7 respectively.

Using formula

\\  \:  \:  \:  \:  \pink{ \dashrightarrow \:  \:  \:  \:  \sf { \underbrace{Area_{(Rectangle)} =  Length × Width  }}} \\  \\

On Substituting the required values, we get;

\\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x)(x + 7) = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x = 744 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 7x - 744 = 0 \\ \\ \\  \: \: \: \:  \dashrightarrow \: \: \: \: \sf  {x}^{2}  + 31x - 24x - 744 = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x(x + 31) - 24 (x + 31) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf (x + 31)(x - 24) = 0 \\ \\ \\ \: \: \: \:  \dashrightarrow \: \: \: \: \sf x = 24 \:  or \:   - 31 \\ \\

As we know that width of the rectangle can't be negative. So x = 24

<u>Hence</u>,

  • Width of rectangle = x = 24 yards
  • Length of the rectangle = x + 7 = 31 yards

\thereforeLength of rectangle is 31 yards<u> </u>and Width is 24 yards.

You might be interested in
Please help me on this ​
IgorC [24]

Answer:

15mm

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help; I'd love for someone to help me with this question that makes no sense what so ever
Bad White [126]

Answer:

multiply 5 by 3.5

Step-by-step explanation:

3.5 times 5 = 17.5

3 0
3 years ago
Read 2 more answers
Hello! I don't understand how to do this question Triangle XYZ is located at X (−2, 1), Y (−4, −3), and Z (0, −2). The triangle
Katen [24]

ANSWER

EXPLANATION

Given that

X (-2, 1)

Y (-4, -3)

Z (0, -2)

The transformation rule of the triangle is given as

(x, y) ----------------> (x - 1, y + 3)

From, the given transformation rule, we can now find the new coordinates

X (-2, 1) --------------> X' (-2 -1, 1 + 3)

X(-2, 1 ----------------> X' (-3, 4)

Y(-4, -3) -----------------> Y'(-3-1, -3+1)

Y(-4, -3)-------------------> Y' (-4, -2)

Z(0, -2) --------------------Z'(0-1, -2+3)

Z(0, -2) -------------------> Z'(-1, 1)

Therefore the new coordinates of the triangles are

X' (-3, 4)

Y' (-4, - 2)

Z' (-1, 1)

8 0
1 year ago
Multiply 631.6 by 0.8​
pentagon [3]

Answer: multiply 631.6 by 0.8​ = 505.28

3 0
2 years ago
The data set represents the total number of people who bought bananas each hour at a grocery store.
balandron [24]
It's A. i just took the quiz.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Julia wants to buy copies of a book to give as presents. How many books can she buy if they are on sale for $12 each, and she ha
    5·2 answers
  • What Is 1,270 rounded to the nearest hundred?
    12·1 answer
  • What is 36 divided by 489 <br> And 17 divided by 8433
    15·2 answers
  • Find the distance between the points (-5, 7) and (-5, -3).
    6·1 answer
  • What is the equation in point−slope form of the line passing through (2, 2) and (4, 8)?
    7·2 answers
  • Create a table of some number pairs that satisfy the equation 3x+y=9
    12·1 answer
  • X<br> Which of the angle pairs can be classified as vertical angles?
    8·2 answers
  • Could someone answer this for me please? Thank you!
    8·1 answer
  • Car Survey: In a survey of 2,400 people who owned a certain type of​ car, 1,680 said they would buy that type of car again. What
    13·1 answer
  • What could be the coordinates of the third vertex, z, of triangle xyz so that it would have a hypotenuse with a length of square
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!