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
kari74 [83]
3 years ago
6

Hem dibuixat tres rectangles. En el primer, la llargada mesura 3 cm més que l'amplada. El segon i tercer rectangle tenen unes di

mensions augmentades, respectivament, en 1 cm i 2 cm respecte de les dimensions del primer. Si la suma dels tres perímetres és de 162 cm, quines són les dimensions de cada rectangle?
Mathematics
1 answer:
quester [9]3 years ago
8 0

Resposta:

Primer rectangle:

Amplada = 11

Longitud = 14

Segon rectangle:

Amplada = 12

Longitud = 15

Tercer rectangle:

Amplada = 13

Longitud = 16

Explicació pas a pas:

Donat que:

Primer rectangle:

Amplada = x

Longitud = x + 3

2n rectangle:

Augment de la dimensió d'1 cm respecte al primer rectangle;

Amplada = x + 1

Longitud = x + 4

3r rectangle:

Augment de la dimensió de 2 cm respecte al primer rectangle;

Amplada = x + 2

Longitud = x + 5

Suma dels tres perímetres del rectangle:

Perímetre d'un rectangle: 2 (l + O)

Primer rectangle:

2 (x + x + 3) = 2 (2x + 3) = 4x + 6

2n:

2 (x + 1 + x + 4) = 2 (2x + 5) = 4x + 10

3r:

2 (x + 2 + x + 5) = 2 (2x + 7) = 4x + 14

Suma de perímetres = 162

(4x + 6 + 4x + 10 + 4x + 14) = 162

12x + 30 = 162

12x = 162 - 30

12x = 130

x = 11

Per tant,

Primer rectangle:

Amplada = 11

Longitud = 11 + 3 = 14

2n rectangle:

Amplada = 11 + 1 = 12

Longitud = 11 + 4 = 15

3r rectangle:

Amplada = 11 + 2 = 13

Longitud = 11 + 5 = 16

You might be interested in
Identify rational numbers and intergers from the following
Nina [5.8K]

Answer:

Rational: all

Integers: 4, -36, -6

Step-by-step explanation:

A rational number is a number that can be written as a fraction of integers.

All numbers shown are rational numbers.

The integers are all positive and negative whole numbers and zero.

The integers are: 4, -36, -6

6 0
3 years ago
What is the answer to the question down below
ratelena [41]

We conclude that the measure of that angle is 150 degrees.

<h3>How to get the measure of angle BFE?</h3>

Notice that  the measure of angle ∠BFE will be equal to:

∠BFE = ∠BFC + ∠CFD + ∠DFE

Where:

∠CFD = 90°

∠DFE = 30°

And we will have that:

∠AFC = 180° - 90° - 30° = 60°

And we know that BF bisects that angle, then:

∠BFC = 30°

So we conclude that:

∠BFE = ∠BFC + ∠CFD + ∠DFE = 30° + 90° + 30° = 150°

We conclude that the measure of that angle is 150 degrees.

If you want to learn more about angles:

brainly.com/question/17972372

#SPJ1

5 0
1 year ago
The pic is my answer. try to be fast with it.
Nastasia [14]

Answer:

i would say the 3rd answer

4 0
2 years ago
Read 2 more answers
A company sells fruit smoothies in two sizes: 6 ounces and 20 ounces. You know that a 6-ounce bottle contains 96 milligrams of s
expeople1 [14]

Answer:

320 milligrams of sodium

Step-by-step explanation:

Create a proportion where x is the milligrams of sodium a 20 ounce bottle has:

\frac{96}{6} = \frac{x}{20}

Cross multiply and solve for x

1920 = 6x

320 = x

So, a 20 ounce bottle will have 320 milligrams of sodium

4 0
2 years ago
John earned $9 by selling 3 candy bars, all of which are the
joja [24]

Answer:i think its c sorry if im wrong

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is an integer between the square root of 30 and 4*Pi divided by 3
    13·1 answer
  • If 5 persons can do 5 jobs in5 jobs in 5 days, then 50 persons can do 50 jobs in _______
    6·1 answer
  • A bin contains 10 cards labeled A to J and 20 cards labeled 1 to 20. The cards are shuffled and one card is chosen at random. Wh
    10·1 answer
  • I need the answer as fast as i can get it!
    6·1 answer
  • Janelle graphed a line through (−6, 5) that had a slope of −79. What is the y-coordinate of a point on the line that has an x-co
    14·1 answer
  • Simplify ........ (256y²⁵⁶) ⅛<br>help asap!!!!!​
    5·1 answer
  • If you apply these changes to the linear parent function f(x)=x what is the equation of the new function vertically compressed b
    7·2 answers
  • The table shows Mitch’s record for the last thirty par-3 holes he has played.
    7·1 answer
  • There are 8 teachers in a school, 4 males and 4 females. 4 teachers are chosen to join a committee. How many ways are there when
    12·2 answers
  • Ron is renting a car for 5 days. He can spend $230
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!