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
Ratling [72]
1 year ago
11

Suppose that a rectangle has a perimeter of 26 meters. Express the area A(x) of the rectangle in terms of the length x of one of

its sides. A(x)
Mathematics
1 answer:
ch4aika [34]1 year ago
4 0

The area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13-x).

<h3>What is rectangle?</h3>

A rectangle is really a closed two-dimensional geometry with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal & parallel. Because  rectangles is a 2-D form, it has two dimensions: length and width.

Some characteristics of rectangle are-

  • The length of the rectangle is the longer side, while the width would be the shorter side.
  • Because all of the angles in a rectangle are equal, it is also known as an equiangular quadrilateral. The quadrilateral is a closed 4-sided shape.
  • Since a rectangle contains parallel sides, it is also known as a right-angled parallelogram.
  • The parallelogram would be a quadrilateral with equal and parallel opposite sides. Rectangles are a type of parallelogram.

Now, according to the question,

Let 'P' be the perimeter of the rectangle.

Perimeter = 2(Length + Breadth)

P = 2(L + B)

The perimeter is 26 meters.

26 = 2(L + B)

L + B = 13

B = 13 - L

Now, the area of the rectangle is given as;

Area = Length×Breadth

A = L×B

Substitute the value of B in area.

A = L×(13 - L)

Area in terms of length x, Put L =x

A(x) = x(13 - x)

Therefore, the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13 - x).

To know more about the rectangle, here

brainly.com/question/25292087

#SPJ4

You might be interested in
If TR=11 ft, find the length of PS
Klio2033 [76]

Answer:

PS = 31.5 ft

Step-by-step explanation:

∠PTS = 180 - 16 = 154°

164°(π/180) = 41π/45 radians

PS = rθ = 11(41π/45) = 31.48573...

5 0
2 years ago
Simplify:<br> 2 11/12 + 5 1/2 + 3 3/8<br> Write you answer as a mixed number.
zysi [14]

Answer:

2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8} (write them out and convert them all into mixed fractions)

\frac{35}{12} + \frac{11}{2} + \frac{27}{8} (find the LCD aka least common denominator)

\frac{70}{24} + \frac{132}{24}  + \frac{81}{24} (add all numerators together)

\frac{283}{24}  (this is improper, so you need to convert back to mixed by dividing)

11\frac{19}{24} (this is your answer)

3 0
3 years ago
Round 3,047 to the nearest hundredth
Aleksandr-060686 [28]
It should be 3,000
------------------------
3 0
3 years ago
8. The volume of a cylinder is 942 cubic feet.
ikadub [295]
The radius would be 5 ft
7 0
3 years ago
Read 2 more answers
WILL MARK THE CORRECT ANSWER BRAINLIEST!<br><br> Select all the correct answers:
stepladder [879]

Answer:

B, D

Step-by-step explanation:

Solve all equations:

A.

x-3x=-2x+4\\ \\-2x=-2x+4\\ \\0=4

This is false equality, so this equation has no solutions.

B.

x-\dfrac{1}{3}(3x)=0\\ \\x-x=0\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

C.

\dfrac{1}{3}x-3=4+2x\\ \\x-9=12+6x\\ \\x-6x=12+9\\ \\-5x=21\\ \\x=-\dfrac{21}{5}

This equation has the unique solution.

D.

3x+2-\dfrac{1}{3}(3x)=2+2x\\ \\9x+6-3x=6+6x\\ \\6x+6=6+6x\\ \\0=0

This equality is true for all values of x, so this equation has infinitely many solutions.

E.

x-\dfrac{1}{3}x+2=0\\ \\3x-x+6=0\\ \\2x=-6\\ \\x=-3

This equation has the unique solution.

8 0
3 years ago
Other questions:
  • 7.6375 correct to 2 d.p.
    12·1 answer
  • What is the exponential function modeled by the following table? x f(x) 3 8 4 16 5 32 (1 point) f(x) = 2x f(x) = x2 f(x) = x3 f(
    6·2 answers
  • Tyler simplified the expression x^-3 y^-9. His procedure is show below.
    11·2 answers
  • What is Albert Einstein credited for? And explain the theory of General Relativity.
    5·2 answers
  • How do you times unlike fractions ??
    9·1 answer
  • B. Solve the following Polynomials:<br>1. u³ + 64​
    5·1 answer
  • Are there any numbers that go into 78 and 780
    6·2 answers
  • A pillow that usually costs $20 is marked down 45%. Table Use the table to find the new price of the pillow.
    14·2 answers
  • What is the value of y?
    5·1 answer
  • 3) Find the area of the polygon below. Give your answer as a number with no label. Assume your answer is square meters. (no link
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!