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
soldier1979 [14.2K]
3 years ago
9

A rectangle has a length of 12 yards less than 3 times its width. If the area of the rectangle is 135 square yards, find the len

gth of the rectangle.
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

The length is 15 yards

Step-by-step explanation:

Given

Represent the width with W and length with L: So

Area = 135yd^2

L=3W - 12

Required

Determine the length of the rectangle:

Area is calculated as thus:

Area = L * W

Substitute 3W - 12 for L and 135 for Area

135= (3W - 12) * W

135= 3W^2 - 12W

Reorder:

3W^2 - 12W - 135= 0

Divide through by 3

W^2 - 4W - 45 = 0

Expand:

W^2  - 9W + 5W - 45 = 0

W(W  - 9) + 5(W - 9) = 0

(W + 5)(W-9) = 0

W + 5 = 0 or W - 9 = 0

W = -5 or W = 9

But width can't be negative

So:

W = 9

Recall that: L=3W - 12

L = 3 * 9 - 12

L = 15

<em>Hence, the length 15 yards</em>

You might be interested in
QUESTION 4
Scrat [10]
I think D is the correct answer
4 0
3 years ago
Jenny surveyed 40 students at her school and found that 0.55 of the students she surveyed said their favorite class is math. Ano
Leno4ka [110]
C.) 30 since they both have 5's just take them out then subtract 50 and 20 *but make sure u take out the decimal though* so after u subtract u will get 30 then line it up and put the decimal back then it will be .30
7 0
3 years ago
DEFORE SIGN INSTALLATION
dem82 [27]

Answer:

wat

Step-by-step explanation:

3 0
2 years ago
????????????????? I NEED HELP WITH THIS WILL GIVE BRAINLIEST
GuDViN [60]

Answer:

#3 is 40

#4 is 90

Step-by-step explanation:

3 0
2 years ago
What number can go into 25 and 48
sammy [17]
Answer: 1

explanation: factors of 25 are 1 and 5
Factors of 48 are 24, 2, 8, 6 , 1 , 3 , 16
8 0
3 years ago
Other questions:
  • A homeowner puts a passcode-enabled lock on her front door. To choose a passcode, she must choose a number, a letter from a list
    7·1 answer
  • An obtuse triangle has two angles 45 n 18 ,and a third unknown angle theta what's the value of the unknown angle​
    15·1 answer
  • What is the answer to <br>|5 + -4|
    11·1 answer
  • Evaluate the expression -8
    14·1 answer
  • The diameter of the base of a cone measures 8 units. The height of the cone is 6 units. What is the volume of the cone in terms
    7·1 answer
  • Simplify m - {n + [p - (m + n - p)]}. <br> a. -2m + 2p <br> b. 2m - 2p <br> c. -2m - 2p
    12·2 answers
  • WILL MARK BRAINLIEST! THANK YOUUUU
    10·2 answers
  • ANGLE KLM and ANGLE RST are supplementary angles. If ANGLE KLM is (7x) and ANGLE RST is (36-x) what is the value of x ? Please h
    13·1 answer
  • Find the values of a and b such that x2 - 2x + 2 = (x -a) + b LOADS OF POINTS ON THE LINE!!!
    13·1 answer
  • What is up with these link people? they are just annoying!
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!