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
snow_tiger [21]
3 years ago
13

The perimeter of a rectangle is 72 cm. The length is 3 more than twice the width What

Mathematics
1 answer:
solmaris [256]3 years ago
7 0
<h3><u>Solution</u></h3>

<u>Given </u><u>:</u><u>-</u>

  • Perimeter of rectangle = 72 cm
  • The length is 3 more than twice the width.

<u>F</u><u>i</u><u>n</u><u>d</u><u> </u><u>:</u><u>-</u>

  • Dimensions of rectangle
<h3 /><h3><u>Explantion</u></h3>

<u>Using </u><u>Formula</u>

\boxed{\underline{\tt{\red{\:(perimeter_{rectang}\:=\:2\times (Length+Width)}}}}

<u>Let,</u>

  • Length of Rectangle = x cm
  • Breadth of Rectangle = y cm

<u>According</u><u> to</u><u> question</u><u>,</u>

==> perimeter of Rectangle = 72

==> 2(x+y) = 72

==> x + y = 72/2

==> x + y = 36_________________(1)

<u>Again,</u>

==> x = 2y + 3

==> x - 2y = 3__________________(2)

<u>Subtract</u><u> </u><u>equ(</u><u>1</u><u>)</u><u> </u><u>&</u><u> </u><u>equ(</u><u>2</u><u>)</u>

==> y + 2y = 36 - 3

==> 3y = 33

==> y = 33/3

==> y = 11

<u>keep </u><u>in </u><u>equ(</u><u>1</u><u>)</u>

==> x - 2×11 = 3

==> x = 3 + 22

==> x = 25

<h3><u>Hence</u></h3>

  • <u>Length</u><u> of</u><u> </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>2</u><u>5</u><u> </u><u>cm</u>
  • <u>Width </u><u>of </u><u>Rectangle</u><u> </u><u>=</u><u> </u><u>1</u><u>1</u><u> </u><u>cm</u>

<h3><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u><u>_</u></h3>

<h3 />

You might be interested in
Find all solutions to the equation.<br> cos^2x + 2 cos x + 1 = 0
garri49 [273]

Answer:

take a picture of the problem

3 0
3 years ago
Which measurement is most accurate to describe the width of a penny 19 mm 8 cm 1 m or 0.3 km
gizmo_the_mogwai [7]
It's either 8 cm or 1 m....i personally think 8 cm is more accurate but, 1 m is still an acceptable answer
5 0
3 years ago
Read 2 more answers
Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)
AlekseyPX

Given:

Right triangle XYZ has right angle Z.

\sin(x)=\dfrac{12}{13}

To find:

The value of \cos x.

Solution:

We know that,

\sin^2(x)+\cos^2(x)=1

\cos^2(x)=1-\sin^2(x)

\cos(x)=\pm\sqrt{1-\sin^2x}

For a triangle, all trigonometric ratios are positive. So,

\cos(x)=\sqrt{1-\sin^2x}

It is given that \sin(x)=\dfrac{12}{13}. After substituting this value in the above equation, we get

\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}

\cos(x)=\sqrt{1-\dfrac{144}{169}}

\cos(x)=\sqrt{\dfrac{169-144}{169}}

\cos(x)=\sqrt{\dfrac{25}{169}}

On further simplification, we get

\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}

\cos(x)=\dfrac{5}{13}

Therefore, the required value is \cos(x)=\dfrac{5}{13}.

6 0
3 years ago
A cookie recipe calls for 7/10 cup of almonds for 6 cookies. How many cups of almonds will you need for 16 cookies?
Law Incorporation [45]
1 and 13/15 cups of almonds. 
7 0
3 years ago
Find the value of the expression 3x plus 4y when x= 4 and y= 5
Alisiya [41]

Answer:

32

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A highway engineer specifies that a certain section of roadway covering a horizontal distance of 2km should have a downgrade of
    6·2 answers
  • I need help, please help me
    6·1 answer
  • The function below models the correlation between the Number of hours a plant is kept in sunlight (x) and the height (y), in mm,
    6·1 answer
  • The growth of a bug population shows a geometric sequence as shown in the table. This pattern continues indefinitely. What will
    12·2 answers
  • Need help!!!!!!!!!!!
    6·1 answer
  • Sammy is making a bacon wrapped pizza for dinner she is wrapping 47.1 Inches of bacon around the outside edge of the pizza what
    11·2 answers
  • Introduction to Circles
    14·1 answer
  • 5) Today's temperature is 10 degrees. Yesterday's temperature was -3. What is
    15·1 answer
  • A triangle has sides measuring 5 inches and 8 inches. If x represents the length in inches of the third side, which inequality g
    13·1 answer
  • 4. It takes Zack 30 minutes to walk 7.5 blocks to the swimming pool. At this rate, how many blocks can he walk in
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!