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
Bas_tet [7]
3 years ago
12

The length of a rectangle is 8 feet more than it’s worth. The area of the rectangle is 84 ft.². Find its Length and width.

Mathematics
1 answer:
Furkat [3]3 years ago
5 0

Answer: 100 i think, but am not sure.

Step-by-step explanation:

The formula for area of a rectangle is A=l*w.  Since the area is 84, then you can use the A=l*w formula.  84 = x(x+8) would be the equation to solve for x.

Now, you need to put the equation in standard form.  So, x2 + 8x - 84 = 0.

Since you can't solve this quadratic using factoring, you need to complete the square.

To complete the square you need to add 84 to both sides.  Now you have x2 + 8x = 84.  Take the coefficient for the x term (8) and divide by 2.  Now square it.  That would be 42, so 16.  Now you have x2 +8x +16 = 100.

Factor x2 +8x +16, so (x+4)2 = 100

If you use the square root property, you have x+4 = 10.  Therefore, x = 6 (the short side) and 14 is the long side.

You might be interested in
If n = -1, which of the following statements is false?
Rainbow [258]

Answer: B

Step-by-step explanation:

Those lines around n mean it’s talking about absolute value. Absolute value is the positive version of any number. This that -1 would turn into 1. If that’s the case, then |n| < 0 would be false

7 0
3 years ago
Find the value of x.<br> 101 x +29
iVinArrow [24]

Answer:

x = 50

Step-by-step explanation:

101 + (x + 29) = 180

130 + x = 180

x = 180 - 130

x = 50

4 0
2 years ago
Read 2 more answers
The ratio of blue shoes to green shoes is 5:2.
ValentinkaMS [17]

Answer:

12

Step-by-step explanation:

6 * 5 is 30 6*2 is 12

7 0
3 years ago
Read 2 more answers
2m+(m-15)=90 solve for m
Ronch [10]

Answer:

m = 35

Step-by-step explanation:

2m + m -15 = 90

3m -15 = 90

     +15  +15

3m = 105

/3     /3

m = 35

To check the work just insert 35 for m:

2(35) + 35 -15 = 90

70 + 35 -15 = 90

105 - 15 = 90

90 = 90

5 0
2 years ago
Can someone help me solve for a ?
Liono4ka [1.6K]

Answer:

a=6 or -6

Step-by-step explanation:

Solve the determinant to get a²-36=0

(a-6)(a+6)=0

a=6 or -6

4 0
3 years ago
Other questions:
  • Clayton biked 3/8 of the 14.5 miles between his house and the beach.How many miles does he still need to bike before he reaches
    10·2 answers
  • The volume of a cube is 27 in^3 How long is each side ? Show and explain your work for full credit.
    9·1 answer
  • Each letter of the alphabet is written on a piece of paper and put in a hat. If a piece of paper is chosen at random, what is th
    13·2 answers
  • a boat traveled 160 miles downstream and back. the trip downstream took 8 hours. the trip back took 40 hours. find the speed of
    6·1 answer
  • Plz help asap will give 5 stars
    11·2 answers
  • Determine weather the function shown in the graph is even or odd.....will give brainlest
    15·1 answer
  • PLEASE HELP I've tried over 2 times and failed please help.
    15·1 answer
  • Little help please just a little.
    10·1 answer
  • Step 1:
    9·2 answers
  • How much is Two thirds of... (2/3)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!