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
alekssr [168]
2 years ago
9

A rectangular field with perimeter of 80m is to have an area of at least 380m² . Describe the possible lengths and of the field.

​
Mathematics
1 answer:
Kryger [21]2 years ago
6 0

let \: x \: be \: the \: length \\ let \: y \: be \: the \: width

perimeter = 2x + 2y \\ area = xy

2x + 2y = 80 \\ xy = 380 \\  \\ x + y = 40 \\ xy = 380 \\  \\ x = 40 - y \\ (40 - y)y = 380

40y - y {}^{2}  = 380 \\ y {}^{2}  - 40y + 380 = 0 \\  y {}^{2}  - 40y + 400 = 20 \\ (y - 20) {}^{2}  = 20 \\ y  - 20 =± \sqrt{20}  \\ y_{1}=20-√20≈15.52786\\ y_{2}=20+√20≈24.4721

You might be interested in
If there 365 days in a year then how meany days in 2 years.
spin [16.1K]

Answer:

do 365+365

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
At 4:00 AM, the temperature is – 12 °F. If the temperature drops 3 °F per hour, what will the temperature be at 6:00 AM?
Scilla [17]
The answer would be -18°F at 6AM
Hope this helps ?(:
3 0
2 years ago
Read 2 more answers
Jay and blair went fishing together they caught 21 fish. jay caught 2 times as many as blair.
deff fn [24]

Answer:

jay caught 42 fish that more than blair

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Ranboo gave tubbo bees. 3/4 of the bees were black, 1/ 8 of the bees were yellow, and the rest were both how many bees are both
uysha [10]
12 of them are black
2 of them is yellow
2 of them are both
5 0
2 years ago
Simplify the expression of 3 <br> 162x^5y8/6x^2y^2
Blababa [14]

Answer:

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%, with the
    8·1 answer
  • The integer<br> is neither positive nor negative.
    12·1 answer
  • the turn signal on a car A blinks 3 times every 5 seconds. The turn signal on car B blinks 2 times every 3 seconds . In one minu
    5·1 answer
  • What is the length of a room with area 261 and width of 18 as a mixed number
    5·1 answer
  • PLEASE ASAP There are 20 players on a soccer team. From them, a captain and an alternate captain have to be chosen. How many pos
    8·1 answer
  • Solve the problem. Susan purchased some municipal bonds yielding 7% annually and some certificates of deposit yielding 9% annual
    10·1 answer
  • A quarter and a number cube are tossed at the same time.
    11·1 answer
  • What are properties of rotations? Check all that apply
    5·1 answer
  • Mist ate 2 slices of cake. Flout ate 1 slice. If Mist ate 2/4 of the cake and all the slices were the same size, what fraction o
    9·2 answers
  • A square has side lengths as shown in the picture and a perimeter of 54.8 centimeters. Write an equation to find the measure of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!