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
pentagon [3]
3 years ago
15

The area of a playground is 204 yd^2 the width of thr playground is 5 yd longer that its length what the length and the width of

the playground
Mathematics
1 answer:
morpeh [17]3 years ago
6 0
W= width= L+5
L= length
Area= 204

Area= LW
204 square yards= LW
substitute w=L+5 for w
204= (L)(L+5)
204= L^2 + 5L
subtract 204 from both sides
0= L^2 + 5L - 204
factor
0= (L+17)(L-12)

0= L+17
-17= L

0= L-12
12 yards= L


WIDTH
Since the area cannot be a negative number, we'll use L=12 to find the width.

w=L+5
w=12+5
w=17 yards


CHECK:
204=(12)(17)
204=204


ANSWER: The length is 12 yards and the width is 17 yards.

Hope this helps! :)
You might be interested in
can the area of a square be expressed as a prime number if its side length is expressed as a natural number?
Lerok [7]

not possible because the area of a square is always a square of it's length and a square cannot be a prime number

7 0
3 years ago
Read 2 more answers
85% expressed as a fraction in simplest form is
Marizza181 [45]

Hello There!

85% = 85/100

85/100 = 0.85

0.85/1 * 100/100

85/100

SIMPLIFIED IS 17/20

8 0
3 years ago
Read 2 more answers
a crew workers paved 2/15 mile in 20 minutes. if they work at the same rate what portion of a mile will they pave in one hour?
ANEK [815]
Since 20 min is 1/3 of a mile 20 min*3=1 hour. then u multiply 2/5 by 3 to get 6/5.
6 0
3 years ago
Tell whether the angles are complementary or supplementary.
igomit [66]

Answer:

complementary

Step-by-step explanation:

The total angle is a right angle. Complementary angles are angles that add up to 90 degrees. Right angles are 90 degrees so the answer is complementary.

6 0
2 years ago
Read 2 more answers
Please help me answer all parts of question 3 in the photo.
Nookie1986 [14]
(i.) CA = πrl
CA = π (5*13)
CA = 65π

(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π

(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.

a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12

(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π


5 0
3 years ago
Other questions:
  • 18/52 in simplest form
    15·2 answers
  • 8=16+8n (can you show rhe solving steps too please?)
    12·2 answers
  • In the study of what causes rates of promotion of minority police officers to vary in different police departments, the unit of
    11·1 answer
  • Which numbers are​ rational?
    8·1 answer
  • Is 0.004 greater than 0.00400?
    10·1 answer
  • Sin^2 (theta)-cos^2 (theta)=0
    5·1 answer
  • 3/4% as a fraction in simplest form?
    12·1 answer
  • Whats the area of the square if the sides are 4/3?
    13·2 answers
  • ?????????????????????????
    10·1 answer
  • What is the equation of the line that is parallel to the line 3x+4y=2 and passes through the point (4.-1)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!