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
Zepler [3.9K]
3 years ago
11

Brian tied a 136-foot rope around the perimeter of his rectangular house. He knows that the length of the house is 10 feet less

than twice the width. Find the dimensions of Brian’s house.
Mathematics
1 answer:
STALIN [3.7K]3 years ago
5 0

Answer:

length 42 cm and width 26 cm

Step-by-step explanation:

Given

Since Brian tied 136 foot rope around the perimeter , hence perimeter of house is 136 foot.

Given that shape of house is rectangular.

formula to calculate perimeter of rectangle can be used which is 2*(L+B)

where L is length of rectangle and B width of rectangle

Let the L and B be length of rectangular side of house

According to question

length of house is 10 feet less than twice the width of house

mathematically it can be represented as

L = 2*B - 10  --->eq. 1

Perimeter of house = 136 feet

using formula of Perimeter of rectangle

136 = 2*(L+B)

substituting the value of length in terms of width from eq. 1 in formula of perimeter

=> 136/2 = 2*B - 10 + B  (2*B+ B = 3B)

=> 68 = 3*B - 10

=> 78 = 3*B

B = 78/3 = 26

Therefore B which is width = 26 CM

length = 2*B - 10= 26*2 - 10 = 52-10=42

length of house = 42  cm

Hence dimension of Brian's house is length 42 cm and width 26 cm

You might be interested in
John owns a hardware store. He has at most $1,000 to spend on restocking his pipes. Steel pipes cost $100, and plastic pipes cos
Llana [10]
If there is $1,000 for the pipes, then you can buy 5 steel pipes for $500 and to plastic for 500 too. 
3 0
3 years ago
Read 2 more answers
Brenda took out a personal loan for $12,000 at an interest rate of 12% compounded monthly. She made arrangements to pay the loan
iragen [17]

Answer: her monthly payments would be $267

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the loan

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $12000

r = 0.12/12 = 0.01

n = 12 × 5 = 60

Therefore,

P = 12000/[{(1+0.01)^60]-1}/{0.01(1+0.01)^60}]

12000/[{(1.01)^60]-1}/{0.01(1.01)^60}]

P = 12000/{1.817 -1}/[0.01(1.817)]

P = 12000/(0.817/0.01817)

P = 12000/44.96

P = $267

7 0
3 years ago
How many shares of Lombard Incorporated traded on the 17th?
Naily [24]

Answer:

Step-by-step explanation:

8 0
3 years ago
Help pls i need i got 2 mins
serious [3.7K]

Answer:

The new position of the bird is 1 ft below surface of pond.

Step-by-step explanation:

- Position of water bird after 15ft dive:

11-15= -4ft

- Position of water after rising 3 feet:

-4+3= -1ft

Therefor it id 1ft below the surface of the pond

6 0
3 years ago
Read 2 more answers
What is the median of the data?
spin [16.1K]
Our data looks like:

3,3,4,4,5,5,5,6,7,8

The median, true to its name is the middle number of the set of data.
The median in this case in in between 5 and 5. Average it out (5+5)/2 = 5.
Your answer should be 5. Hope this helps!
3 0
3 years ago
Read 2 more answers
Other questions:
  • 5&lt;3+w <br><br><br> PLZ HELP MEHHHH
    7·2 answers
  • The equation below is a vertical line. x = − 10<br><br> true or false?
    5·1 answer
  • The gear ratio of two gears is the ratio of the number of teeth of the larger gear to the number of teeth of the smaller gear. I
    6·1 answer
  • PLS HELP ME ASAP GUYS!! THANK U SM!! HELP! Thank u!!
    12·1 answer
  • Hi again. I'm bb and needs more help with maths if you can help me :3
    5·2 answers
  • Please I need help with this ASAP
    12·1 answer
  • What is 0.55% of 60?​
    6·2 answers
  • A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers
    7·1 answer
  • Find the area of the L shape.<br>9 cm<br>8 cm<br>3 cm<br>20 cm​
    6·1 answer
  • Which of the Following illustrates how to find the difference of <br> 12a ^2b and —5a^2b?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!