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
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, t
irina1246 [14]

Answer:

63.7 inches

Step-by-step explanation:

half the base is 9 inches, so the equal legs are each

L = √(9² +21²) = 22.8473...

Perimeter  = 2(22.8473) + 18 = 63.6946... ≈ 63.7 inches.

3 0
3 years ago
Solve for x. 9x=5x 20 enter your answer in the box. x =
const2013 [10]
Collect the like terms
9x-5x=20
4x=20 divide both sided by 4
x=5
7 0
3 years ago
Read 2 more answers
Please help whats the last meter on 10 will mark brainliest!
densk [106]

Answer:

10000

Step-by-step explanation:

4^2 (100) = 1600

so,

10^2 (100) gives us our answer of 10000

5 0
3 years ago
4x+3y=20<br> 2x+y=7<br> How do I solve this? I forgot how to do it :/ also no answer choice
Crank

So for this, I will be using the substitution method. Firstly, subtract both sides in the second equation by 2x: 4x+3y=20\\ y=7-2x

Next, substitute y in the first equation with 7-2x, then solve for x from there:

4x+3(7-2x)=20\\ 4x+21-6x=20\\ -2x+21=20\\ -2x=-1\\ x=\frac{1}{2}

Now that we got x, substitute it into either equation to solve for y:

4*\frac{1}{2}+3y=20\\ 2+3y=20\\ 3y=18\\ y=6\\ \\ 2*\frac{1}{2}+y=7\\ 1+y=7\\ y=6

In short, x = 1/2 and y = 6.

6 0
3 years ago
How. do i find the line of symmetry
kkurt [141]
The line of symmetry is at zero because the coordinates are X= -2 , X= 2
8 0
3 years ago
Other questions:
  • Write i. word form 209.106​
    10·2 answers
  • A dog that weighs 20 pounds on Earth we
    9·2 answers
  • Football practice starts at 5:45 P.M. and lasts for 80 minutes. What time does football practice end?
    15·2 answers
  • What composite number is greater than 38 but less than 50?<br> A.41<br> B.47<br> C.49<br> D.55
    14·2 answers
  • Calculate the total cost of an item bought at a negotiated price of $17,250 with 7.7 percent sales tax and a $95 registration fe
    9·1 answer
  • Help with this please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Use your results to predict the number of times the cup lands on its side in 1000 tosses.
    6·2 answers
  • What is the area of<br><br> 28<br> 105<br> 38.5<br> 49
    15·2 answers
  • Use the drawing tool(s) to form the correct answer on the provided number line.
    8·1 answer
  • Which model represents 2 . 36 ÷ 4 ?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!