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
4vir4ik [10]
3 years ago
7

The length of a rectangle is 8 feet more than it's width. The area of the rectangle is 84 square feet. Find it's length and widt

h.
Mathematics
1 answer:
S_A_V [24]3 years ago
3 0

Length of the rectangle is 14 ft and width is 6 ft

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x, then length = 8 + x. Find dimensions if area = 84 ft²

⇒ Area of the rectangle = length × width

⇒ 84 = x(8 + x) = 8x + x²

⇒ x² + 8x - 84 = 0

⇒ x² + 14x - 6x - 84 = 0 (Using product sum rule to factorize)

⇒ x(x + 14) - 6(x + 14) = 0

⇒ (x + 14)(x - 6) = 0

⇒ x = -14, +6 (negative value is neglected)

∴ x = 6 and x + 8 = 14

You might be interested in
Simplify -k^2-(3k-6n)+2n when k=-3 and n=-5
shutvik [7]

Steps to solve:

-k^2 - (3k - 6n) + 2n; k = -3, n = -5

~Substitute ans simplify

-(-3)^2 - (3(-3) - 6(-5)) + 2(-5)

3^2 - (-9 + 30) - 10

~Use PEMDAS and solve the rest

9 - 21 - 10

-13 - 10

-23

Best of Luck!

7 0
3 years ago
Read 2 more answers
A gardener plants 250 sunflower seeds and 210 germinate. Find the probability that a sunflower seed will germinate.
Anni [7]

Answer:

There is a 84% probability that the seed will germinate. (Poor plants)

Step-by-step explanation:

250 = 100%

210 = x

250x = 21000

x = 84

7 0
2 years ago
What is the value of the x in the figure? Plz help ASAP
zalisa [80]

Answer:

2x+15=145........ vertically Opposite

2x=145-15

2x=130

x=130/2

65

x=65

4 0
2 years ago
Read 2 more answers
What is the simplest form for 10/42
QveST [7]


2 goes into both numbers, so divide both by 2;

10 ÷ 2 = 5

42 ÷ 2 = 21

so 10/42 in simplest form is: 5/21

7 0
3 years ago
Find the perimeter and are of the trapezoid
lara31 [8.8K]

Answer:

47.7ft

Step-by-step explanation:

12.8ft+6.2ft+13.9ft+15.5ft=47.7ft

8 0
1 year ago
Other questions:
  • Here is the question. 100 points plz help
    7·2 answers
  • Write and solve an equation to find the value of each variable
    7·1 answer
  • 1. Write an equation of the circle whose diameter AB has endpoints A(-4,2) and B(4,-4)
    15·1 answer
  • The cost of four sweaters an two pairs of jeans is 140$. The cost of two sweaters an three pairs of jeans is $150.
    10·2 answers
  • If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint?
    10·1 answer
  • Which of the following appear in the diagram below?
    15·1 answer
  • Is this correct, explain please?
    12·1 answer
  • please help me find the slope of the line graphed below ! (will mark brainliest) and spammers will be reported.
    8·2 answers
  • Find the perimeter. Simplify your answer.
    6·2 answers
  • Round to three decimal places <br><br> 5 = ____ liters
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!