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
mafiozo [28]
3 years ago
11

A rectangle has a length that is 2 meters more than the width. The area of the rectangle is 288 square meters. Find the dimensio

ns of the rectangle.
Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

L = 18 and w = 16

Step-by-step explanation:

The area of a rectangle is found by A = l*w. Since the length here is 2 more than the width or 2 + w and the width is w, substitute these values and A = 288 to solve for w.

A = l*w\\288 = w(2+w)\\288 = w^2 + 2w

To solve for w, move 288 to the other side by subtraction. Then factor and solve.

w^2 + 2w  - 288 = 0 \\(w +18)(w-16) = 0\\

Set each factor equal to 0 and solve.

w - 16 = 0 so w = 16

w + 18 = 0 so w = -18

Since w is a side length and length/distance cannot be negative, then w = 16 is the width of the rectangle.

This means the length is 16 + 2 = 18.

You might be interested in
16/21 × 20/24 × 28/15​
Troyanec [42]

Answer:

32/27

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A box of pencils is 5 1/4 inches wide. Seven pencils, laid side by side, take up 2 5/8 inches of the width. How many inches of t
Andre45 [30]

Answer:   Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

Step-by-step explanation:

Given: Width of pencil box = 5\dfrac14\text{ inches}=\dfrac{21}{4}\text{ inches}

Width of seven pencils = 2\dfrac58\text{ inches}=\dfrac{16+5}{8}\text{ inches}=\dfrac{21}{8}\text{ inches}

Width of box is not taken up by pencils =  Width of pencil box  - Width of seven pencils

\left \{ {{y=2} \atop {x=2}} \right. \dfrac{21}{4}-\dfrac{21}{8}\\\\=\dfrac{21\times2-21}{8}\\\\=\dfrac{21}{8}\text{ inches}=2\dfrac58\text{ inches}

Width of box is not taken up by pencils =  2\dfrac58\text{ inches}

Width of each pencil = (Width of seven pencils ) ÷ 7

=\dfrac{21}{8}\div7\\\\=\dfrac{21}{8}\times\dfrac17\\\\=\dfrac38\text{ inches}

Width of each pencil =\dfrac38\text{ inches}

3 0
2 years ago
Read 2 more answers
5 < 2a(üssü -1) + 3 < 9 eşitsizliğini sağlayan a sayısı aşağıdakilerden hangisi olabilir?
Andru [333]

Answer:

d

Step-by-step explanation:

I believe it is d if I'm not wrong

6 0
2 years ago
Factor the expressions<br> Please help
adelina 88 [10]

Answer:

(x + 1)( {6x }^{2}  - 2x)

6 0
2 years ago
Read 2 more answers
Suppose that y is directly proportional to x, and y = 150 when x = 15. What is the constant of proportionality?
galina1969 [7]

Answer:  The required constant of proportionality is 10.

Step-by-step explanation:  Given that y is directly proportional to x, and y = 150 when x = 15.

We are to find the constant of proportionality.

According to the given information, we can write

y\propto x\\\\\Rightarrow y=kx~~~~~~~~~~~~~~~~[\textup{where k is the constsnt of propotionality}].

When y = 150 and x = 15, we get from the above equation that

y=kx\\\\\Rightarrow 150=k\times15\\\\\Rightarrow k=\dfrac{150}{15}\\\\\Rightarrow k=10.

Thus, the required constant of proportionality is 10.

3 0
3 years ago
Other questions:
  • A large container holds 5 gallons of water. It begins leaking at a constant rate. After 10 minutes, the container has 3 gallons
    11·1 answer
  • The sum of two right angles always, sometimes, never results in a straight angle. Justify answer
    13·1 answer
  • 30 friends are coming to my house for a cookout. 16 of them want hot dogs, 16 of them want burgers, and 11 of them want salad. 5
    15·2 answers
  • The grocery store charges $0.89 a pound for unsalted peanuts. If y represents the total cost and x represents the number of poun
    6·1 answer
  • the coordinates of the endpoints of CE are C(-3, -7) and E(7, -2). point M (3, -4) is on CE. what is the ratio of CM:ME?
    15·1 answer
  • On a test hailey answered 64 out of 75 questions correctly. What percent of her answers were correct? With the work please!!
    7·2 answers
  • The cost of a single ticket depends on the number of tickets, t, purchased in a group, as represented by the function C(t).
    12·2 answers
  • Graph the function below:<br> y = 32 +1
    9·1 answer
  • Just a quick question. Is 21 the right answer for y?
    13·1 answer
  • The perimeter of a square garden is (20k+36) feet. Write an expression
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!