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
morpeh [17]
1 year ago
11

A rectangle has a length 10 more than its width. If the width is increased by 8 and the length by 4, the resulting rectangle has

an area of 135 square units.
Part A Write an equation to model the above scenario. Use the model to find the length of the original rectangle?
Part B What is the perimeter of the expanded rectangle?
Mathematics
1 answer:
labwork [276]1 year ago
3 0

The equation to model the above scenario is x^{2} +22x - 23 = 0

The perimeter of the expanded rectangle is 48 units

<h3>What is a rectangle?</h3>

A rectangle is a quadrilateral with its 4 angles 90°

Analysis:

First rectangle:

length = 10 + x

width = x

Second rectangle:

length = x + 14

width = x + 8

Area of expanded rectangle = 135 square unit

(x+8)(x+14) = 135

x^{2} + 8x + 14x + 112 = 135

x^{2} + 8x + 14x -23 = 0

x^{2} + 22x -23 = 0

x^{2} + 23x - x - 23 = 0

(x-1)(x+23) = 0

Therefore x = 1

Expanded length = 1+14 = 15

Expanded width = 1+8 = 9

Perimeter = 2(9+15) = 48 units

Learn more about Rectangles: brainly.com/question/25292087

#SPJ1

You might be interested in
Shoemakers of America forecasts the following demand for the next six months: 5000 pairs in month 1; 6000 pairs in month 2; 7000
Andrew [12]

Answer:

5,000+6,000+7,000+,9,000+6,000+5,000= 38,000

Step-by-step explanation:

8 0
3 years ago
Day X = 33; Day Y = 44. What is the percent change from day X to day Y?
Serhud [2]

Answer: 33.3% increase, pretty sure

Step-by-step explanation: Big number- Small number, and then divided by the first number: 44-33=11. 11 divided by 33 ( original) is 0.3333, and then change the decimal to a percent, which is 33.3%.

5 0
2 years ago
If ON is a midsegment of KLM, find LM.<br><br> A.2<br> B.3<br> C.4<br> D.5
Aleksandr-060686 [28]
NO is 2 times LM

2(x+1) = 4x

2x + 2 = 4x

2 = 2x

1 = x

Plug that in for 4x

4(1)

4
4 0
3 years ago
Read 2 more answers
What is the distance in units from (2, -12) to (-11, -12)<br> 20 POINTSSS <br> HURRY PLEASEEEE
sweet [91]

Answer:

d= (-11-2)^2 + (-12--12)^2

d= (-13)^2 + (0)^2

d=169

square root the 169

answer is 13

that's the distance from (2, -12) (-11, -12)

hope that helps

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What happens to the volume of a sphere when its diameter is doubled?
pochemuha
To determine the effect of changing the diameter of a sphere to its volume, we would need to know the formula for the volume of a sphere which is V = 4πr³/3 where r is half of the diameter. As you can see, there is a direct relationship.

r1 = d1/2
r2 = d2/2 = 2d1/2 = d1

V2/V1 = (4πd1³/3) / (4π(d1/2)³/3)
V2/V1 = 8

Therefore, the volume of the sphere would be 8 times the original volume.
5 0
2 years ago
Read 2 more answers
Other questions:
  • Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.
    12·2 answers
  • I need help with this problem please
    14·1 answer
  • What is 260% as a fraction in simplest form
    9·2 answers
  • HELP ASAP.
    9·1 answer
  • The table shows the amount of money that Bradford saved in his savings account after different amounts of time.
    14·2 answers
  • Use the two-way table to answer the question.
    6·1 answer
  • Pleaseeee help meeee
    13·1 answer
  • each Saturday morning Janie works 5 hours and earns $35.75. How much does Janie earn for each hour she works?
    9·1 answer
  • I NEED HELP PLEASE HELP MEEE
    14·2 answers
  • find the surface area a planet if its circumference is about 18,000 miles long. Round to the nearest thousand square miles
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!