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
Lostsunrise [7]
2 years ago
11

If the length of rectangle is thrice of its breadth and it's perimeter is 32 cm then finds its area​.​

Mathematics
2 answers:
aleksandrvk [35]2 years ago
6 0
  • Area of rectangle is <u>48 cm²</u>.
<h3><u>Explanation </u><u>:</u></h3>

<em><u>Given </u></em><em><u>:</u></em><em><u>-</u></em>

  • Length of rectangle is thrice of its breadth.
  • Its perimeter is 32 cm.

<em><u>To </u></em><em><u>Find </u></em><em><u>:</u></em><em><u>-</u></em>

  • Area of rectangle?

<em><u>Solution </u></em><em><u>:</u></em><em><u>-</u></em>

  • Let breadth of rectangle be x cm
  • As it is stated in question that length of rectangle is thrice its breadth so length of rectangle will be 3x cm

<em>Using </em><em>formula;</em>

  • Perimeter of rectangle = 2(L + B)

<em>Where;</em>

  • L denotes length of rectangle
  • B denotes a breadth of rectangle

<em>We </em><em>have;</em>

  • Perimeter of rectangle = 32 cm
  • Length of rectangle (L) = 3x
  • Breadth of rectangle (B) = x

<em>By </em><em>p</em><em>utting </em><em>all </em><em>values </em><em>in </em><em>formula </em><em>we </em><em>get;</em>

→ 2(3x + x) = 32

→ 2(4x) = 32

→ 2 × 4x = 32

→ 8x = 32

→ x = 32/8

<em>After </em><em>divi</em><em>d</em><em>ing </em><em>3</em><em>2</em><em> </em><em>with </em><em>8</em><em>,</em><em> </em><em>we </em><em>get;</em>

<em>→</em><em> </em>x = 4

<em>Hence;</em>

  • Length (L) = 3x = 3 × 4 = 12 cm
  • Breadth (B) = x = 4 cm

<em>Now,</em><em> </em><em>using </em><em>formula;</em>

  • Area of rectangle = L × B

<em>Where;</em>

  • L denotes length of rectangle
  • B denotes a breadth of rectangle

<em>We have;</em>

  • Length of rectangle (L) = 12 cm
  • Breadth of rectangle (B) = 4 cm
  • Area of rectangle = ?

<em>By putting all </em><em>values </em><em>in </em><em>formula</em><em> w</em><em>e</em><em> </em><em>g</em><em>et</em><em>;</em>

→ Area of rectangle = 12 × 4

<em>By </em><em>multiplying </em><em>1</em><em>2</em><em> </em><em>with </em><em>4</em><em>,</em><em> </em><em>we </em><em>get;</em>

→ Area of rectangle = 48 cm²

  • <u>Hence,</u><u> </u><u>area </u><u>of</u><u> </u><u>rectangle </u><u>is </u><u>4</u><u>8</u><u> </u><u>cm²</u>.
jeka57 [31]2 years ago
3 0

Answer:

48 cm²

Explanation:

Let the breadth be b, then the length is 3b

P = 2(Length + Breadth)

32 = 2(3b + b)

32 = 2(4b)

8b = 32

b = 4

Breadth is 4 cm

Length: 3b = 3(4) = 12 cm

Area of rectangle:

Length × Breadth

12 × 4

48 cm²

You might be interested in
List the six pairs of congruent corresponding parts ?
asambeis [7]
Sorry hagrid, cant help ye out on this one bud
4 0
3 years ago
The solutions to the inequality y &gt; −3x + 2 are shaded on the graph. Which point is a solution? (0, 2) (2, 0) (1, −2) (−2, 1)
Brilliant_brown [7]

Answer:

(2,0)

Step-by-step explanation:

The solution of the inequality y>-3x+2 is shown in attached diagram.

The boundary line is dotted line, because the sign of inequality is without notion "or equal to". The dotted line means that points lying on this line are not solutions of the inequality. The solutions are those points lying in the shaded region.

From the points (0,2), (2,0), (1,-2), (-2,1) only point (2,0) lies on the shaded region, so only point (2,0) is a solution to the inequality

5 0
3 years ago
Read 2 more answers
Trigonometry please help
kotykmax [81]

Answer:

7.5

Step-by-step explanation:

x = 10 \tan \: 37 \degree \\  \\  \therefore \: x = 7.535540501 \\  \\ \therefore \: x  \approx 7.5

3 0
3 years ago
Read 2 more answers
Find the probability of rolling a 4 or less on the first die, and a 5 or less on the second die
bearhunter [10]

Answer:

first dice-4/6

second dice-5/6

Step-by-step explanation:

if you have six possible outcomes for the first dice and you want it to roll 1 thru 4 then you have a four out of six chance and you have a 5 out of six chance for the second dice

3 0
3 years ago
Natalie walked 3/5 mile in 1/2 hour . how fast did she walk in miles per hour
Nutka1998 [239]

Answer:

(6/5) mph

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Find the suface area of the regular pyrimid 15, 12, r 7.5
    10·1 answer
  • Expand 1/5(10x-25)<br> Whats the ans. Need help.
    13·2 answers
  • During halftime of a football ​game, a sling shot launches​ T-shirts at the crowd. A​ T-shirt is launched from a height of 5 fee
    13·1 answer
  • Fiffteen min. after seven what time is it
    5·2 answers
  • The balance of Bryce's account is $16 Jada's is $5 overdrawn. What is the difference between thei account balances?
    7·1 answer
  • In parallelogram PQRS, find the value of angle SPR if angle RSP is 75° and angle PRS is 39°.
    10·1 answer
  • Find the measure of the missing angle
    9·2 answers
  • If sin x = - 4/5 where pi &lt; x &lt; (3pi)/2 and cos y = 8/17 where 0 &lt; y &lt; n/2 , find any two of the following: either s
    6·1 answer
  • 160 cm is how many mm?​
    11·2 answers
  • If tan of theta =3/4 what is sec of theta​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!