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
SVEN [57.7K]
3 years ago
7

The perimeter of a basketball court is 114 meters and the length is 6 meters longer than twice the width. What are the length an

d the width?
Mathematics
2 answers:
Korvikt [17]3 years ago
8 0
Let width be x then
L = 6 + 2x (as per the question)
therefore perimeter = 2(L+B)
P=2(6+2x+x)
P=2(6+3x)
P=12+6x
acc. to question P=114 m
144 = 12 + 6x
6x=114-12
6x=102
x=\frac{102}{6}
x=17
therefore width = 17 meters
then , length = 6 + 2x
where x=17 m
L=6+2(17)
L=6+34
L=40
therefore length and breadth of the basketball court is 17 m and 40 m respectively...
fiasKO [112]3 years ago
7 0
Ok first list everything you know (what they told us) about this basketball court because this will come in handy. 

perimeter (p)=114 (they told us that this is the perimeter)
p=2w+2L  (using what we know about perimeters we can infer that this is the formula for a perimeter. this is just another way of writing p= w+L+w+L)
L=6+2w ("L" is length. they say that the length is 6 MORE, hence the plus sign, than 2 TIMES the width)

now lets put all this together. we want to find the length and width. we already have an idea of what the length is so we can plug that into our "p" formula...

p= 2w+ 2(6+2w).. now do a little simplifying 
p= 6w+12 

we know what "p" is so we can also plug that in
114= 6w+12 ..now get the variable on one side and the numbers on the other 
114-12=6w
\frac{102}{6}=w
17=w

Great we just found what the width is BUT we aren't finished. we have to find the length. for this you just plug "w" back into your "p" formula. 

p= 2(17)+2L
remember that p=114
114= 34+2L
get "L" to one side
114-34=2L
\frac{80}{2}=L
40=L

make sure you check your answers. simply plug "w" and "L" into your "p" formula if it equals 114 you did it right !!

You might be interested in
. A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below. The buildin
Softa [21]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

6 0
2 years ago
adding and subtracting one step equations. A dividing board is 12.4 feet above the ground. The bottom of the pool is 16.9 feet b
melisa1 [442]

Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

5 0
3 years ago
Ginny has 16 chocolate bars. She gives away ¾ of her chocolate bars to friends. How many chocolate bars did Ginny give away?
Phantasy [73]

Answer:

She gave away 12, so she still has 4.

Step-by-step explanation:

16 times .75 equals 12.

6 0
3 years ago
Read 2 more answers
Determine the midpoint between the two points x(4,-6) and y(-2,8)
ikadub [295]

Answer:

p(a, b) = (1, 1)

Step-by-step explanation:

Midpoint formula is

p(a, b)=(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} ) ---------------(1)

Here

(x_1, y_1) = (4, -6) \ \ \ and \ \ \ (x_2, y_2) = (-2, 8)

Substituting values in equation (1)

p(a, b)=(\frac{4 - 2}{2}, \frac{-6 + 8}{2} )

p(a, b) = (1, 1)

6 0
3 years ago
Two sides of an isosceles triangle are 4 and 8. Which of the following choices could be the measure of the third side?
Feliz [49]

Answer:

8 is answer. isoceles triangles must have two equal sides, where the smaller makes the base and the two larger are the legs.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is the product? Five-twelfths times one-third
    13·2 answers
  • Adrienne has several receipts from recent transactions that she entered in her records. The receipts include an ATM receipt for
    14·2 answers
  • Write a linear function in slope intercept form given the slope of the equation is -4 and the y intercept is 6.
    7·1 answer
  • Find the sale price of a $90 item after a 30% discount.<br> The sale price is $
    7·2 answers
  • A boy gets 560 marks out of 700. What is the percentage of his marks?​
    12·2 answers
  • Help! i need the answer asap!!
    7·1 answer
  • They made $835 in ticket sales
    7·1 answer
  • I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would
    8·1 answer
  • PLS HELP ME WILL GIVE BRAIN THING
    11·2 answers
  • Determine the volume of the picture below.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!