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
Anastaziya [24]
2 years ago
14

The length of a rectangle is 4FT less than three times the width, and the area of the rectangle is 55FT. Find the dimensions of

the rectangle.
Mathematics
1 answer:
Umnica [9.8K]2 years ago
5 0

Answer:

  • The required dimensions of rectangle are 11 feet and 5 feet.

Step-by-step explanation:

Given, The length of a rectangle is 4 ft less than three times the width, and the area of the rectangle is 55 ft².

Let's assume width of rectangle be x feet and length be 3x - 4 feet. Using the formula of Area of rectangle we'll find the value of length and width.

\\ \dashrightarrow{ \red{ \underline{ \underline   {\sf\: \:Area  _{(rectangle)}  = Length \times width}}}} \\ \\

Substituting the required values:

\dashrightarrow\: \: (3x - 4)(x) = 55  \\

\dashrightarrow\: \: 3x^2 - 4x = 55 \\

\dashrightarrow\: \: 3x^2 - 4x - 55 = 0 \\

\dashrightarrow\: \: 3x^2 + 11x - 15x - 55 = 0 \\

\dashrightarrow\: \: x(3x+11) -5(3x+11) = 0 \\

\dashrightarrow\: \: (x-5)(3x+11) = 0 \\

{ \red{ \dashrightarrow\: \:   { \underline{ \underline{ {x = 5 \: or \: \dfrac{-11}{3}}}}}}} \\ \\

Hence,

  • Length of rectangle = 3x - 4 = 3(5) -4 = 11 feet
  • Breadth of rectangle= x = 5 feet

\therefore The required dimensions of rectangle are 11 feet and 5 feet.

You might be interested in
Suppose you get a cut on your finger and 5 bacteria cells get into the cut. Each hour the number of bacteria cells will double u
BlackZzzverrR [31]

Answer:

5⁶⁴ = 152587890625⁴ bacteria's at 7 hours

Step-by-step explanation:

Simple..

it means the bacteria is increasing exponentially.

This is a geometric progression.

at 0 hrs = 0 bacteria

at 1 hr = 5 bacteria

at 2hr = 25 " = 5²

at 3hrs = 25 x 25 = 5² x 5² = 5⁴

at 4hrs = (25x25) x (25x25) = 5⁴x5⁴ = 5⁸

at 5hrs = (5⁸)² = 5⁸ˣ² = 5¹⁶

at 6 hrs = (5¹⁶)² = 5¹⁶ˣ²= 5³²

at 7 hrs = (5³²)² = 5³²ˣ² = 5⁶⁴

5⁶⁴ = 152587890625⁴

6 0
3 years ago
Help asap!!! it’s due in 20 minutes .
Grace [21]

Answer:

ab

Step-by-step explanation:

7 0
3 years ago
You are given a choice of taking the simple interest on ​$10,000 invested for 2 years at a rate of 3​% or the interest on ​$100,
attashe74 [19]

Answer:

Compount interest earns more. Difference between 2 interest is $92 445.39

Step-by-step explanation:

Simple Interest:

I =  \frac{prt}{100}

p = $10000

r = 3%

t = 2years

I = (10000×3×2)/100

= $600

Total amount = $10 600

Compound Interest:

A = p( {1 +  \frac{r}{100}) }^{n}

p = $100000

r = 3/730 (daily)

t = 730 (2yrs)

A = 100000[1+(3/73000)]^730

= $103 045.39 (2d.p)

Difference = $103045.39 -

$10600

= $92 445.39

(Correct me if i am wrong)

8 0
4 years ago
If Martha earns $3.25 per hour for babysitting, how much will she earn in: 1.5 hours? 2.5 hours? 3.5 hours?
IgorC [24]
IF MARTHA EARNS 3.25/HOUR FRO BABYSITTING (SHE IS UNDERPAID!)
IN 1.5 HOURS=3.25*1.5=4.88 DOLLARS
IN 2.5 HOURS=3.25*2.5=8.13 DOLLARS
IN 3.5 HOURS=3.25*3.5=11.38 DOLLARS  

6 0
3 years ago
Read 2 more answers
A population of 120,000 grows 3% per year for 15 years, how much will the population be after 15 years?
Wewaii [24]
270,000 is the answer because you have three over 100 so you do 100 divided by three which give you 0.15 then you do 120,000 times 0.15 to find out how much it grows per year to get 18,000 then you multiply 18’000 by 15 and get 270’000
3 0
4 years ago
Other questions:
  • The sum of Jim's weight and Bob's weight is 180 pounds. If you subtract Jim's weight from Bob's weight, you get half of Bob's we
    10·2 answers
  • In 3 hours, a car travels 120 miles. What is the speed of the car
    11·2 answers
  • Which number replaces the question mark?​
    13·2 answers
  • What is the slope of the line that passes through the points (-4,0) and (2,0)
    14·2 answers
  • Help me :}
    14·1 answer
  • Solve for m and show work please
    12·1 answer
  • Find each missing angle measure
    11·2 answers
  • Oliver is building a box kite. The frame of the kite has the dimensions shown. He covered the sides of the kite (but not the top
    6·1 answer
  • Find the midpoint of the line segment with end coordinates of:<br> (1,4) and (5,2)
    15·1 answer
  • Find the value of f (-2)for the function f (c) = 5x+8
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!