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
Original price of coat: $100.00 Discount: 21%
Reptile [31]

Answer:

$79

Step-by-step explanation:

5 0
2 years ago
Why is a parallelogram not the same type of quadrilateral as trapezoid
Alisiya [41]
A quadrilateral trapezoid means that there are four sides to the trapezoid. But two of those sides (which are across from each other if you were to draw it out) are not parallel, meaning that if you were to continue the lines they start from, they would eventually cross. A parallelogram means that all opposite sides are parallel. Hope this helps you!! :)
7 0
2 years ago
It will cost $ 8.94 for the ingredients to make one cake of 16 pieces. what is the unit cost of each piece of cake?
Arlecino [84]
Each piece of cake costs $.56 ($.55875)
I divided 8.94 by 16 to find how much one piece costs.
6 0
3 years ago
The velocity of a particle can be modeled by the function mc041-1.jpg. Which graph accurately shows the velocity of the particle
BigorU [14]
The simplest way to solve this is to notice that letting t = 8/3 will let the term (3t-8) = 0. Substituting this will make v(t) = 2. Then we check which graphs pass through (8/3, 2). Only the second and third graphs do.

Next, we look at the behavior of the graph as t increases. Based on the equation, as t increases, (3t-8)^3 increases as well, so v(t) will increase as well. This is shown by the second graph, in which v(t) increases as t increases.
5 0
3 years ago
Read 2 more answers
99/100 * 0.4......<br> please solve this ASAP
nekit [7.7K]
Answer is 0.396
To make it easier, I converted the fraction to a decimal (0.99), then multiplied 0.99 • 0.4 which will equal 0.396 or 99/250.
5 0
3 years ago
Other questions:
  • Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a
    10·2 answers
  • What is the number in standard form 4.9 x 10 by the 8th power
    15·1 answer
  • Simplify (x^2+5x+1)(x^2+x+3)
    14·1 answer
  • What is the period, in seconds, of the simple harmonic motion described by the equation x = 3sin(4πt)?
    6·2 answers
  • A package contains three types of bagels, plain, wheat, and sesame. The weight of the plain bagels is 1 2/3 pounds. The weight o
    11·2 answers
  • Am stuck on this question and show your working please.
    8·1 answer
  • Sam added 72 fish to his pond over a period of 9 days. He added the same number of fish each day. What was the change in the num
    14·1 answer
  • What expression represents "two consecutive integers"?
    10·1 answer
  • Which equation below is a quadratic function translated (shifted) right 3
    12·1 answer
  • Can someone pls help with this tyyy
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!