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
Morgarella [4.7K]
3 years ago
13

to find the perimeter of the rectangle you can see the formula P=21+2W. find the perimeter P of a rectangle whose length L is 10

cm and width W is 7 cm.
Mathematics
1 answer:
Olin [163]3 years ago
6 0

Answer:

rectangle, the distance around the outside of the rectangle is known as perimeter. A rectangle is 2-dimensional; however, perimeter is 1-dimensional and is measured in linear units such as feet or meter etc.

The perimeter of a rectangle is the total length of all the four sides.

Perimeter of rectangle = 2L + 2W.

Example 1: Rectangle has the length 13 cm and width 8 cm. solve for perimeter of rectangle.

Solution:

Given that:

Length (l) = 13 cm

Width (w) = 8 cm

Perimeter of the rectangle = 2(l + w) units

P = 2(13 + 8)

P = 2 (21)

P = 42

Thus, the perimeter of the rectangle is 42 cm.

Example 2: If a rectangle's length is 2x + 1 and its width is 2x – 1. If its area is 15 cm2, what are the rectangle's dimensions and what is its perimeter?

Solution:

We know that the dimensions of the rectangle in terms of x:

 l = 2x + 1

w = 2x – 1

Since the area of a rectangle is given by:

A = l * w

We can substitute the expressions for length and width into the equation for area in order to determine the value of x.

A = l * w

15 = (2x + 1) (2x -1)

15 = 4x2 – 1

16 = 4x2

x = ±2

 

 Note that the value of x must be positive and therefore in our case, the value of x is 2. And now we have:

l = 5 cm

w = 3 cm

Therefore, the dimensions are 5cm and 3cm.

Now, substituting these values in the formula for perimeter, we will get

P = 2l + 2w

P = 2(5)+2(3)

P = 10+6

P = 16 cm

Example 3: Find the area and the perimeter of a rectangle whose length is 24 m and width is 12m?

Solution:

Given that:

length = L = 24m

width = W = 12m

Area of a rectangle:

A = L × W

A = 24 × 12

A = 188 m2

Perimeter of a rectangle:

P = 2L + 2W

P = 2(24) + 2(12)

P = 48 + 24

P = 72 m

Example 4: Find the area and perimeter of a rectangle whose breadth is 4 cm and the height 3 cm.

Solution:

Area = b×h = 4×3 = 12 cm2.

Perimeter = 2(b) + 2(h) = 2(4) + 2(3) = 8 + 6 = 14.

Example 5: Calculate the perimeter of the rectangle whose length is 18cm and breadth 7cm

Solution:

Given that:

L = 18 cm

B = 7 cm

Perimeter of rectangle = 2(length + breadth)

P = 2 (L + B)

P = 2 (18 + 7)

P = 50 cm

Example 6: Find the perimeter of rectangle whose length is 6 inches and width is 4 inches.

Solution:

P = 2(L + B)

P = 2(6 + 4)

P = 20 in

Example 7: A boy walks 5 times around a park. If the size of the park is 100m by 50m, find the distance the boy has walked. If he walks 100m in 5 minutes, how long will it take for him in total?

Solution:

Given that:

Length = L = 100m

Width = W = 50m

Rounds = 5

Time per 100m = 5minutes.

Perimeter of the park:

P = 2 L + 2 W.

P = 2 × 100 + 2 × 50

P = 200 + 100

P = 300 m

Total distance walked = 5 × Perimeter of the park.

= 5 × 300

= 1500 meters

Total time taken = Total distance walked × time taken to walk 1m.

= 1500 × 5/100

= 75minutes or 1hr 15minutes

You might be interested in
(3*10)*8=240*(10*8) what is the property
strojnjashka [21]

Answer:

2 + (3 + 4) = (2 + 3) + 4 ⇒2+7 = 5+4.

Step-by-step explanation:

5 0
2 years ago
Multiply 5(−37). Simplify your answer.
crimeas [40]
-2 1/7 is the correct answer.
5 0
3 years ago
Read 2 more answers
B) Find the value of 3^-3 x 10^-3
DerKrebs [107]

Answer:

no

Step-by-step explanation:

8 0
3 years ago
What is y+2=-4(X-6) in Ax+By=C form
PSYCHO15rus [73]
Y+2=-4x+24
2=-4x-y+24
-22=-4x-y
7 0
3 years ago
Andrea is buying a car for $21,450 she will finance $16,450 of it with a 5 year loan at 2.9% apr what will her monthly auto paym
Pani-rosa [81]

Answer:

Option A- 294.85          

Step-by-step explanation:

Given : Andrea is buying a car for $21,450 she will finance $16,450 of it with a 5 year loan at 2.9% APR.

To find : The monthly auto payment.

Solution : From the table we get that monthly car loan payment per $1000 borrowed when interest rate is 2.9% on a 60 month loan is

Monthly car loan payment per $1000 borrowed is $17.924

Per $1000 the finance is A=\frac{16450}{1000}=\$16.45        

Monthly payment = Monthly car loan × Finance

17.924\times 16.45=\$294.8498            

Therefore, Option A is correct.      

The Monthly payment is $294.85.        

3 0
3 years ago
Other questions:
  • 0.056 divided by 0.004
    7·2 answers
  • Factor z^2 – 3z – 18. A. (z + 3)(z – 6) B. (z – 3)(z – 6) C. (z + 8)(z – 10) D. (z + 2)(z – 9)
    8·1 answer
  • In the figure, m∠1=m∠2 = 22 and m∠3 = m∠4 = 123. Find m∠TSK.
    15·2 answers
  • There are 90 fith-grade students going on a feild trip. Each student gives the teacher $9.25 to cover admission to the theater a
    15·1 answer
  • How many sides does a regular polygon have if each of its interior angles is 165 degree.
    8·1 answer
  • A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the
    14·1 answer
  • Sara wants to find the input value that produces the same output for the functions represented by the tables.
    8·2 answers
  • HELPPP If _ABD and ZACD are both right angles, CD = 15, and BD = 4x-9, what is the value<br> of x?
    5·1 answer
  • A ball is shot from a cannon into the air. The equation that's gives the height (h) of the ball of any time (t) is: h(t)= -16t^2
    15·1 answer
  • Stephen curry makes approximately $1.1 x 10^5 per day. how many money does he make in a year
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!