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
yanalaym [24]
3 years ago
5

A carpenter is assigned the job of expanding a rectangular deck where the width is one-fourth the length. the length of the deck

is to be expanded by 10 feet, and the width by 6 feet. if the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, find the dimensions of the original deck
Mathematics
1 answer:
anzhelika [568]3 years ago
8 0

Alright, lets get started.

Suppose the original deck size: width = x feet

the width is one-fourth the length given in question means length = 4 x feet

Means the originally area = x * 4 x = 4 x^{2}

Now the dimensions are changed.

New dimensions, width = (x + 6)

new length = (4x+10)

So, new area will be = (x+6) * (4x+10) = 4x^{2} + 10 x + 24 x + 60 = 4x^{2} + 34 x + 60

the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

4x^{2} + 128= 4x^{2} + 34 x + 60

Subtracting 4x^{2} from both sides

128 = 34 x + 60

Subtracting 60 from both sides

128 - 60 = 34 x + 60 - 60

68 = 34  x

Dividing 34 in both sides

\frac{68}{34}  = \frac{34 x }{34}

x = 2

Means width = 2 feet

Length would be = 4 time width = 4 * 2 = 8 feet

Means dimension of original deck would be = 2 feet and 8 feet :Answer

Hope it will help :)

You might be interested in
P: It's sunny.
lapo4ka [179]

Answer:

I think the answer is c

Step-by-step explanation:

please give me brainlist

5 0
3 years ago
The spray from a sprinkler reaches 21 feet from the sprinkler and creates a circle as it spins. What is the
mylen [45]

Answer:

66ft

Step-by-step explanation:

c=pixD

c=pix21

c=65.9...=66ft

3 0
3 years ago
Read 2 more answers
Find the perimeter and area of rectangle ABCD.
nikklg [1K]
Add up all the sides which should equal 32
8 0
3 years ago
Read 2 more answers
10 POINTS!<br> Explain 2 reasons the shema is important to Jewish.
iren [92.7K]
The Shema is an affirmation of Judaism and a declaration of faith in one God. 
5 0
3 years ago
Read 2 more answers
A rectangular prism has the following dimensions. length: 18 inches width: 1 foot height: 14 inches If all the dimensions of thi
mojhsa [17]

Answer:

11,448 in²

Step-by-step explanation:

The area can be computed from ...

... A = 2(LW +H(L+W))

For the given prism, the area will be ...

... A = 2(18·12 +14(18+12)) = 2(216 +420) = 1272 . . . . in²

The area of a similar figure with dimensions 3 times as long will be 3² times as much. The area of the new figure is ...

... A = 3²×(1272 in²) = 11,448 in²

3 0
3 years ago
Read 2 more answers
Other questions:
  • The tread life of tires mounted on light-duty trucks follows the normal probability distribution with a mean of 60,000 miles and
    5·1 answer
  • Is it possible to construct a triangle with side lengths of 15 inches, 17 inches, and 32 inches? Why or why not?
    7·1 answer
  • Long divison 8755 by 67​
    8·1 answer
  • Order the numbers 3/10, 3/100, 33/1000
    13·2 answers
  • Whats the difference between an exponent and a base?
    6·1 answer
  • PLEASEEE HURRYYYY how many triangles can be constructed with sides measuring 6cm 2cm 7cm
    12·1 answer
  • Apply the distributive property to factor out the greatest common factor.<br> 44+48=44+48
    7·1 answer
  • Tysm3333333333333333333333
    6·1 answer
  • Which plot has an outlier?
    15·1 answer
  • If equipment cost $20,000 and accumulated depreciation amounts to $6,000, the book value of the equipment is?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!