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
a_sh-v [17]
3 years ago
8

The area of a rectangle is 42 ft squared, and the length of the rectangle is 5 ft more than twice the width. Find the dimensions

of the rectangle. length and width.​
Mathematics
2 answers:
stira [4]3 years ago
7 0

Answer:

<h3>Length = 12 ft</h3>

Width = \frac{7}{2} ft

Step-by-step explanation:

Given,

Area of rectangle = 42 \:  {ft}^{2}

Width = X

Length = 2x + 5

Now,

x(2x + 5) = 42

2 {x}^{2}  + 5x   = 42

2 {x}^{2}  + 5x - 42 = 0

2 {x}^{2}  + 12x - 7x - 42 = 0

2x(x + 6) - 7(x + 6) = 0

(2x  - 7)(x + 6) = 0

Either

2x - 7 = 0

2x = 0 + 7

2x = 7

x =  \frac{7}{2}

Or,

x + 6 = 0

x = 0 - 6

x =  - 6

Negative value can't be taken.

So, width = \frac{7}{2} ft

Again,

Finding the value of length,

Length = 2x + 5

2 \times  \frac{7}{2}  + 5

7 + 5

12

Length = 12 ft

DanielleElmas [232]3 years ago
4 0

Answer:

length = 12 ft, width = 3.5 ft

Step-by-step explanation:

w = width

l = length = 2w + 5

A = wl = w(2w + 5) = 42

2w² + 5w - 42 = 0

(w + 6)(2w - 7) = 0

w + 6 = 0, w = -6 (dimension cannot be negative)

2w - 7 = 0, w = 3.5

l = 2(3.5) + 5 = 12

You might be interested in
Pls somebody help me, only right answers :(
klemol [59]

Answer: (2*5.4*7)+(2*5*8)+(7*8)

Step-by-step explanation:

7 0
2 years ago
Help me plz for number 14 a-d
Svetllana [295]
The answer for number A would be 1/3
6 0
3 years ago
Select all ratios equivalent to 30:6
Korolek [52]

Answer:

60 : 12

90 : 18

120 : 24

150 : 30

3 0
2 years ago
A​ single, six-sided die is rolled. Find the probability of rolling an even number or a number less than 5.
Svetach [21]

The probability of rolling an odd number or a number less than 5 is 5/6.

Probability is the likelihood of the occurrence of an event. It is the ratio of number of events to number of possible outcomes.

The possible outcome from rolling a six-sided die is 1, 2, 3, 4, 5 and 6

P(odd number) = 3/6; P(less than 5) = 4/6; P(odd number and less than 5) = 2/6

Hence:

P(odd number or less than 5) = 3/6 + 4/6 - 2/6 = 5/6

The probability of rolling an odd number or a number less than 5 is 5/6.

8 0
1 year ago
PLS HELP ASAP IM TAKING A TEST THANK YOU!!! :) &lt;3
KatRina [158]

Answer:

Runner 1

Step-by-step explanation:

He ran 1 mile in 10 mins

3 0
2 years ago
Other questions:
  • the average sunflower has 34 petals. which is the best estimate of the total number of petals on 57 sunflowers
    15·1 answer
  • Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must m be and why?
    15·2 answers
  • Mark has downloaded four times as many songs on his music player as Chloe. If mark has 440 songs,how many songs does Chloe have?
    13·2 answers
  • Got another 1 pls ASAP
    12·1 answer
  • What is the difference between lcm and lcd??
    11·1 answer
  • Company charges 10 cent per kilowatt an hour of electricity. How much does it cost to operate a chandelier with five 75 watt lig
    11·1 answer
  • Six times the sum of three consecutive odd integers is 18.Find the integers 1st integers (smallest of 3): 2nd integers (middle o
    6·1 answer
  • Lisa drank 4/5
    10·1 answer
  • In which number does the digit 5 have greater value 5,214 or 6,589
    14·2 answers
  • If f(x) = 2x^2 +1 and g(x) = 3x-2 what is the value of f(g(x))
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!