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
pishuonlain [190]
3 years ago
6

A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room

is 2 feet more than twice the width. The height is 1 foot greater than the width.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

You might be interested in
Charlotte spent 1/2 of the day shopping at the mall. She spent 1/4 of this time trying on jeans. What fraction of the days did C
Nadya [2.5K]

Answer:

1/8

Step-by-step explanation:

1/2 * 1/4 = 1/8

8 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 34cm. What are the lengths of the sides if the first side is twice the length of the second side
dybincka [34]

Answer:

8sm, 16sm, 10sm

Step-by-step explanation:

the first side of the triangle: x

the other side of the triangle: 2x

the third side of the triangle: x+2

the perimeter of the triangle: x+2x+x+2=34

4x=32

x=8

2*8=16

8+2=10

4 0
2 years ago
The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet.
grandymaker [24]
A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A
3 0
3 years ago
You might need:
aleksley [76]

Answer: ummm

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Factor 4b^2 - 9<br><br> A, (4b+3)(b-3) <br> B, (2b+3)(2b-3)<br> C,(2b-4)(2b-5)
andrey2020 [161]
The correct answer is B)
Hope this helps!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Joey is asked to name a quadrilateral that is also a rhombus. What did he draw?
    9·1 answer
  • ASAP! GIVING BRAINLIEST! Please read question 10 THEN answer correctly! No guessing.
    15·1 answer
  • The original price for a case of paper is $12.88. The case of printer paper is on sale for 0.5 times the original price. How muc
    14·1 answer
  • Use the Quadratic Formula to solve the equation. -2x^2 - 5x + 5 = 0
    8·2 answers
  • What is the slope of the points( -3, 10), (-13, -6)
    13·2 answers
  • Find [4(cos15° + isin15°)]^3 and express it in a + bi form.
    11·1 answer
  • If the simple interest on ​$1,000 for 5 years is ​$300​, then what is the interest​ rate?
    9·1 answer
  • Solve for x.<br><br> −3(x+5)=−9
    7·1 answer
  • I need help with my last 2 problems
    6·1 answer
  • Please help me thanks!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!