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
GuDViN [60]
3 years ago
11

the area of a rectangle is 96m^2 and the circumference is 39.2m. Determine the dimensions if the rectangle​

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

Dimension => 10 m × 9.6 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 96 m²

Circumference (C) = 39.2 m

Dimension =.?

Next, we shall determine the Lenght and breadth of the rectangle. This can be obtained as follow:

Let L be the Lenght

Let B be the breadth

Area of a rectangle = L × B

96 = L × B ..... (1)

Circumference of rectangle = 2(L + B)

39.2 = 2(L + B) .... (2)

From equation 2, make L the subject

39.2 = 2(L + B)

Divide both side by 2

39.2 /2 = L + B

19.6 = L + B

Rearrange

L = 19.6 – B ....(3)

Substitute the value of L in equation 3 into equation 1

96 = L × B

L = 19.6 – B

96 = (19.6 – B ) × B

Clear bracket

96 = 19.6B – B²

Rearrange

B² – 19.6B + 96 = 0

Solving by factorisation

B² – 10B – 9.6B + 96 = 0

B(B – 10) – 9.6(B – 10) = 0

(B – 9.6)(B – 10) = 0

B – 9.6 = 0 or B – 10 = 0

B = 9.6 or B = 10

Substitute the value of B into equation 3:

L = 19.6 – B

B = 9.6

L = 19.6 – 9.6

L = 10

Or

L = 19.6 – B

B = 10

L = 19.6 – 10

L = 9.6

Since the length is always longer than the breadth,

Length (L) = 10 m

Breadth (B) = 9.6 m

Finally, we shall determine the dimension of the rectangle. This can be obtained as follow:

Length (L) = 10 m

Breadth (B) = 9.6 m

Dimension =?

Dimension = L × B

Dimension = 10 m × 9.6 m

You might be interested in
(n+7)(n+2)(3n-4) pls answer the question
Sergeu [11.5K]

Answer:

3x3+23x2+6x−56 it depends what type of answer they want like do they want you to simplify, if so that's the answer

8 0
2 years ago
1/3(x+9)=8 Please help
koban [17]

Answer:

I got x=15, Hope this helps!

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Finish this question fast
umka21 [38]

Answer:

B. -3d + 47.25

Step-by-step explanation:

Each of them has $15.75

Each spent $d

Amount each still has = 15.75 - d

Therefore, total amount the 3 of them has = 3(15.75 - d) = 3*15.75 - 3*d

= 47.25 - 3d

Which is also am equivalent of -3d + 47.25

4 0
2 years ago
If a=mg-kv2/m,find,correct to the nearest whole number the value of v when a=2.8,m=12,g=9.8 and k=8/3
Cerrena [4.2K]

Answer:

v = 23

Step-by-step explanation:

Formatting the question gives;

a = mg - kv² / m

Make v subject of the formula as follows;

(i) Multiply both sides by m

ma = m²g - kv²

(ii) Collect like terms

kv² = m²g - ma

(iii) Divide through by k

v² = (m²g - ma) / k

(iv) Take the square root of both sides

v = √ [(m²g - ma) / k]            --------------(ii)

From the question:

a = 2.8

m = 12

g = 9.8

k = 8/3

Substitute these values into equation (i) as follows;

v = √ [(12²(9.8) - 12(2.8)) / (8/3)]

v = √ [(1411.2 - 33.6) / (8/3)]

v = √ [1377.6 / (8/3)]

v = √ [1377.6 x (3/8)]

v = √ [1377.6 x 3 / 8)]

v = √ [516.6]

v = 22.73

v = 23 [to the nearest whole number]

Therefore v = 23 to the nearest whole number    

3 0
3 years ago
Solve for x: 3(x + 1) = −2(x − 1) − 4.
Vlad [161]

Answer:

Multiply the first bracket by 3

Multiply the second bracket by -2

3x+3=-2x+2-4

3x+2x+3=-2x-2   negative (-) number and positive number (+)= negative number

Just rearranging

5x+3=-2

5x+3-3=-2-3

5x=-5

Dividing by 5

5x/5=-5/5

x=-1

Check answer by using substitution method

3(-1+1)=-2(-1-1)-4

0=-2(-2)-4 negative number and negative number = positive number

0=4-4

0=0

Answer is x=-1

6 0
3 years ago
Other questions:
  • If 10,500 is deposited in a compound interest account paying 2.99% interest annually, how much will be in the account after 5 ye
    6·1 answer
  • Find a rational number better 4.1 and square root of 17 please help me !!!! ASAP
    8·1 answer
  • What is the middle number when the numbers {2.3, –0.1, 1.9, –4, –3.2} are ordered from least to greatest?
    13·2 answers
  • There are 28 students in class the ratio of girls to boys is 3:4. How many girls
    5·2 answers
  • What number multiplied by 1/3 equals 10
    5·1 answer
  • What's the answer to 27/3 - 40/8?
    12·2 answers
  • Please help! Urgent
    15·1 answer
  • Find the value of x such that the data set has the given mean.
    7·1 answer
  • What is the y-intercept of the equation of the line that is perpendicular to the line v= x -x+ 10 and passes through the
    8·1 answer
  • DeMarco works in a clothing store. He earns a base salary plus 18% commission on his sales.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!