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
meriva
3 years ago
6

the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle

.
Mathematics
1 answer:
raketka [301]3 years ago
7 0

Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

   x by 2 and subtract 5 from the product to find its length

∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

∴ P = 2(3x - 5)

- Multiply the bracket by 2

∴ P = 6x - 10

∵ The perimeter of the rectangle is 146 units

∴ P = 146

- Equate the two expression of P

∴ 6x - 10 = 146

- Add 10 to both sides

∴ 6x = 156

- Divide both sides by 6

∴ x = 26

Substitute the value of x in W and L expressions

∴ W = 26 units

∴ L = 2(26) - 5 = 52 - 5

∴ L = 47 units

Now use the formula of the area to find the area of the rectangle

∵ A = 47 × 26

∴ A = 1222 units²

∴ The area of the rectangle is 1222 units²

You might be interested in
What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x
inna [77]

Answer: Exact Form:  x = − 45 /2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

8 0
3 years ago
If f(x)=x and g(x) =2, what is (f•g)(x)
slavikrds [6]
The answer is c. You distribute the X to the F and G. f(x) + g(x), which is x + 2.
7 0
2 years ago
If you travel at a rate of 45 miles per hour, how many minutes will it take you to travel 1 mile
gavmur [86]
1 minute and 15 seconds.
8 0
3 years ago
How many cylindrical can of bottles 12 cm high and with 6 cm diameter could be filled from a tank containing 125 liters of deter
Orlov [11]

Answer:

368 cans.

Step-by-step explanation:

Volume of 1 can = π r^2 h.

Here h (height) = 12 and r (radius) = 1/2 * 6 = 3 cm.

So V =  π * 3^2 * 12

= 108π cm^3.

The tank hold 125 liters

=  125,000 cm^3, so:

Number of cans that could be filled = 125000/ 108 π

= 368.4.

4 0
3 years ago
Read 2 more answers
(4x+3)+(×-2)+(4x+3)+(x-2)
ahrayia [7]
4x + 3 + x - 2 +4x +3 +x - 2
5x + 1 + 4x + 3 + x - 2
5x + 1 + 5x + 1
10x + 2

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the slope. (1, 5) (3, 6)<br> please and thanks
    11·1 answer
  • Can someone please help ! thank you !
    11·1 answer
  • Noel conducted a survey on how many hours of homework students in the sixth grade completed each night.
    8·1 answer
  • The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. The cost of cultivating corn and wheat (includin
    12·1 answer
  • A sales manager collected the following data on annual sales for new customer accounts and the number of years of experience for
    6·1 answer
  • Please help me with this problem !!
    10·1 answer
  • Evaluate 11y when y=5
    15·2 answers
  • PLEASE ANSWER THIS QUESTION RIGHT.Which is the vertex form of a quadratic equation?
    15·1 answer
  • GIVING BRAINLIEST!!!!!!!
    5·1 answer
  • State if each scenario involves a permutation or a combination. Then find the number of possibilities.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!