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
How do you find the area of this composite figure?
Illusion [34]
If you notice the picture below

the composite figure is just a trapezoid sitting on top of a rectangle
and then, the rectangle has a triangular hole in it

so.. get the area of the trapezoid   \bf \textit{area of a trapezoid}=A=\cfrac{h}{2}(a+b)\qquad 
\begin{cases}
h=height\\
a,b=\textit{parallel sides or bases}
\end{cases}

then get the area of the rectangle, which is just a 12x14
and then get the area of the triangle, which surely you know is 1/2 bh

then, subtract the triangle's area from the rectangle's area

and whatever is left, namely the difference, add that to the area of the trapezoid, and that's the composite's area

namely the area of the trapezoid plus the rectangle's, minus the triangle's

6 0
3 years ago
Find all the values of × for which the statement is true.
andrew-mc [135]
X=3 , -3


Shsjdhshajbahe
5 0
3 years ago
What is a parralel line
Kryger [21]

Answer:

A parallel line is something that is equivalent on the other end. This mean if you cut a shape, a square for example, in half,the sides will be of equal length.

3 0
2 years ago
Read 2 more answers
A triangular portion of a baseball field is marked as shown below. To the
Illusion [34]

Answer:

D. 1.6 yd

Step-by-step explanation:

Use the law of sines.

\dfrac{c}{\sin C} = \dfrac{a}{\sin A}

\dfrac{c}{\sin 28^\circ} = \dfrac{2~yd}{\sin 36^\circ}

c = \dfrac{2~yd \times \sin 28^\circ}{\sin 36^\circ}

c = 1.6~yd

5 0
3 years ago
Point H(9, 1) is reflected across the x-axis. Which statements about H’ is true?
Elza [17]

Answer:

b and d

Step-by-step explanation:

Under a reflection in the x - axis

a point (x, y ) → (x, - y ) , then

H (9, 1 ) → H' (9, - 1 )

the x- coordinate is 9 → b

the y- coordinate is - 1 → d

7 0
3 years ago
Other questions:
  • What are some ways to describe the relationships between sets of numbers?
    8·1 answer
  • Please, can you give me help with answer #1- #2 and #3.Thanks.
    13·2 answers
  • Felipe earns 5% commission on his sales at Best Buy. One week his sales totaled $9,650. What was his commission for the week?
    9·1 answer
  • ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️PLEASE PLEASE PLEASE HELP!!!!!
    8·2 answers
  • Evaluate f(x) =-3x-3 for x = -2
    10·1 answer
  • 6. A shipping box is shown below. How many
    7·1 answer
  • Based on the graph, the greatest percentage of increase in accidents happens in which two years? (Visualize the
    10·1 answer
  • Please help i need this done by today !!
    7·1 answer
  • Pls helpppp!!!!!!<br> What kind of compound inequality is….&gt;&gt;&gt;&gt;&gt;look at pic
    12·1 answer
  • How large an equilateral triangle can you fit inside a 2-by-2 square?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!