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
Nutka1998 [239]
3 years ago
5

a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l

ength of the rectangle
Mathematics
1 answer:
bogdanovich [222]3 years ago
6 0

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = \frac{1}{2} x cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w =\frac{1}{2} x

then,  

24 = 2 (x+3+\frac{1}{2} x)

Divide by 2 both sides of an equation;

12 = x+3+\frac{1}{2}x

Combine like terms;

12 =\frac{3x}{2} +3

Subtract 3 from both the sides we get;

12-3 = \frac{3x}{2} +3-3

Simplify:

9 =\frac{3x}{2}

Multiply both sides by \frac{2}{3} we get

x = 9 \times \frac{2}{3} = 3 \times 2 = 6

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

You might be interested in
Which is a symmetric distribution?
MrRissso [65]

Answer:

100% guarantee its D for A P E X :)

Step-by-step explanation:

5 0
3 years ago
Algebra 2! Please help!
slega [8]

B is the answer

As x → ∞, f(x) → - ∞

As x → - ∞, f(x) → - ∞


6 0
3 years ago
Read 2 more answers
Which expression represents the surface area?
ohaa [14]

Answer:

2x + 1/2 sq. ft

Step-by-step explanation:

Surface area = 2(lw+wh+lh)

Given

length l = x ft

width w = 1/2 ft

height h = 1/2ft

Substitute

Surface area = 2(x(1/2)+(1/2)(1/2)+x(1/2))

Surface area = 2(x/2+1/4+x/2)

Surface area = 2(2x/2 + 1/4)

Surface area = 2(x + 1/4)

Surface area = 2x + 2/4

Surface area = 2x + 1/2 sq. ft

3 0
3 years ago
Read 2 more answers
Multiply the quotient of b and 10 by 9
Lisa [10]

Answer:

10b/9

Step-by-step explanation:

multiply the quotient of b and 10 by 9

8 0
2 years ago
-11b>55 plz can someone help me
skelet666 [1.2K]
I think this is right

-11 > 55

You divide both sides by -11
8 0
3 years ago
Other questions:
  • Can someone help me please? Thanks if you do!
    15·1 answer
  • What is the GCF of 45 and 72?
    12·2 answers
  • A group of students and teachers are going on a field trip? One ninth of the group will fit on 1/3 of a school bus. How many bus
    14·1 answer
  • Solve each equation and verify the solution<br><br> a) 5+2x=25<br> b) 14=5x-6<br> c) 15=4x+7
    11·1 answer
  • A 1,900 square foot house sold for 165,000. what is the price per square foot?
    15·2 answers
  • Use the given data to construct a box plot and identify the 5-number summary. Eleven different second-year medical students at B
    5·1 answer
  • Solve for x in the following angle relationship. Please also identify the type of angles given:
    6·1 answer
  • Consider the probability that no more than 28 out of 304 students will not graduate on time. Choose the best description of the
    15·1 answer
  • Five balls are numbered 1 through 5 and placed in a bowl. Josh will randomly choose a ball from the bowl, look at its number and
    15·1 answer
  • Find all real and imaginary solutions to the equation x^3-4x^2+x-4=0
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!