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
jek_recluse [69]
3 years ago
12

The ratio of the width to the length of a rectangle is 2:3, respectively. Answer each of the following. By what percent would th

e area of the rectangle change if the width of the rectangle is increased by 50% and the length is increased by the same number of units?
Mathematics
2 answers:
Anastaziya [24]3 years ago
6 0

Answer:

= 200%

Step-by-step explanation:

Answer:

200%

Step-by-step explanation:

Length and breadth is in the ratio 2:3

Then, let length = 2x and breadth = 3x

Area of rectangle = l×b = 2x×3x = 6

Now if breadth is increased by 50% ,

our new breadth will be = 3x + 50%(3x)

                                       = 4.5x

And length is increased by same number of units, length = 2x+ 2x = 4x

New area = l×b = 4.5x × 4x

                        = 18

Percentage change in area = ×1000

                                           = ×100

                                           = 200%

Julli [10]3 years ago
4 0

Answer:

Step-by-step explanation:

Let L & B be the original length & width of the rectangle then its area is

A0=LB

Now, the length & width both are increased by 50 % then new length & width become 1.5L & 1.5B then new area of rectangle

A1=1.5L×1.5B=2.25LB

Now, the percentage increase in the area of rectangle

=A1−A0A0×100 %

=2.25LB−LBLB×100 %

=125 %

You might be interested in
Conner and Jana are multiplying (3⁵6⁸)(3⁹6¹⁰).
ad-work [718]
<h3>Conner work is correct. Jana work is wrong</h3>

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

<em><u>Given that,</u></em>

<em><u>Conner and Jana are multiplying:</u></em>

(3^56^8)(3^96^{10})

Given Conner's work is:

(3^56^8)(3^96^{10}) = 3^{5+9}6^{8+10} = 3^{14}6^{18}

We have to check if this work is correct

Yes, Conner work is correct

From given,

(3^56^8)(3^96^{10})\\\\3^5 \times 6^8 \times 3^9 \times 6^{10}

Use the following law of exponent

a^m \times a^n = a^{m+n}

Therefore,

3^5 \times 6^8 \times 3^9 \times 6^{10} = 3^5 \times 3^9 \times 6^8 \times 6^{10} = 3^{5+9} \times 6^{8+10} = 3^{14} \times 6^{18}

<em><u>Given Jana's work is:</u></em>

(3^56^8)(3^96^{10}) = 3^{5.9}6^{8.10} = 3^{45}6^{80}

This is incorrect

The powers of same base has to be added. But here, powers are multiplied which is wrong

7 0
3 years ago
Find the length of the third side. If necessary, round to the nearest tenth.​
My name is Ann [436]

Answer:

7.8

Step-by-step explanation:

8 0
2 years ago
A horse began running due east and covered 25 km in 4.0 hr. What is the average
Jobisdone [24]

Answer:

6.25 km an hour

please mark brainliest

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D%20%2B3" id="TexFormula1" title="y=x^{2} +3" alt="y=x^{2} +3" align="absmiddle"
Katena32 [7]

Answer:

The domain is (negative infinity, infinity) the range is [3. Infinity) y>=3

Step-by-step explanation:

The domain for all quadratic functions are (Negative infinity, infinity)

The range is the output values of the function 3, to infinity

6 0
3 years ago
In a section of a baseball stadium, there are 11 seats in the first row. There are 15 seats in the second row, 19 seats in the t
jok3333 [9.3K]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • The average height of middle school students at Seton Grove School is found to be 5.25 feet. Which sample makes this generalizat
    9·2 answers
  • A sawdust pile has a base diameter of 35 feet when it’s height is 30 feet, find the volume of the pile when it is at 50 feet tal
    13·1 answer
  • What is 4/5 11/25 4/50 as a percent?
    6·2 answers
  • HELP!!!! CLICK ON THE PICTURE! THANK YOU
    10·1 answer
  • Please help me!!! (Can you also explain)
    9·2 answers
  • Click on the picture thanks so much
    10·1 answer
  • In a particular class of 24 students, 14 are men. what fraction of the students in the class are men
    8·2 answers
  • Given matrix A below, calculate det[A] twice using minors and cofactors
    12·1 answer
  • Another Giveaway! 60 points!
    5·2 answers
  • If (2 +3i)^2 + (2 - 3i)^2 = a + bia =b=
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!