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
solong [7]
2 years ago
15

Each side of a rhombus is 20 cm long and one of its diagonals is 24 cm in length, find the area of ​​this rhombus?

Mathematics
2 answers:
Allushta [10]2 years ago
8 0
<h3>Given :</h3>

  • Side of rhombus = 20 cm

  • Diagonal_1 of rhombus = 24 cm

\\  \\

<h3>To find :</h3>
  • Diagonal_2 of rhombus

\\  \\

<h3>Note :</h3>

Kindly keep in touch with picture

\\  \\

<h3>Solution:</h3>

We know:

\bigstar \boxed{ \rm Area = \dfrac{Diagonal_1 \times Diagonal_2 }{2}}

As we can clearly see we need both diagonals, but in question only one diagonal is given.

\\

So first let's find other diagonal.

\\

\red{\textsf{ \textbf{To find Diagonal}}}   \red{\sf\pmb{_2}} \leadsto

\\

In △ AOB :

AB - Hypotenuse

AO = Perpendicular

BO = Base

\\

Base² = Hypotenuse ² - Perpendicular²

∴ BO² = AB² - AO²

  • BO² = 20² - 12²
  • BO² = 400 - 12²
  • BO² = 400 - 144
  • BO² = 256
  • BO = √(256)
  • BO = √(16 × 16)
  • BO = 16 cm²

\\

  • Diagonal_2 = 2BO
  • Diagonal_2 = 2 × 16
  • Diagonal_2 = 32 cm

\\  \\

\red{\textsf{ \textbf{To find Area}}}    \leadsto

\\

As we already know Area of rhombus so :

\twoheadrightarrow\sf Area = \dfrac{Diagonal_1 \times Diagonal_2 }{2} \\

\\  \\

\twoheadrightarrow\sf Area = \dfrac{32 \times 24}{2} \\

\\  \\

\twoheadrightarrow\sf Area = \dfrac{768}{2} \\

\\  \\

\twoheadrightarrow\bf Area = \red {384 {cm}^{2} } \\

vodomira [7]2 years ago
6 0

Answer:

AB = 20 CM

OA = 1

__ × 24 cm

2

= 12 cm

AOB = 90 °

OB² == AB² - OA ²

( {20}^{2} ) - ( {12}^{2} ) \\  = 400 - 144 \\  = 256 \\

ob \:  =  \sqrt{256}  = 16 \\ bd \:  = 2 \times ob \\  = 2 \times 16 \\  = 32cm \:  \\

AREA OF ABCD IS

\frac{1}{2 }  \times ac \times bd \\  =  \frac{1}{2}  \times 24 \times 32 \\ 384cm

hope \: its \: helpful \:  \: to \: you \:

You might be interested in
What is the total surface area ?
ser-zykov [4K]

Answer:

The answer is 126.

Step-by-step explanation:

If you multiply 2*9 first, you get 18. Then multiply 18 by 7. The answer will be 126. I hope this helps.

8 0
2 years ago
Felipe bought 3/4 of a pound of American cheese at the deli. She used 1/2 of the cheese to make sandwiches. How much cheese did
seraphim [82]
She used 3/8 of the cheese. Since she used 1/2 <em>of</em> 3/4, you multiply 3/4 times 1/2. If you multiply straight across, the answer should be 3/8. If you need further explanation, just ask! Hope this helps! =D :D
6 0
3 years ago
Read 2 more answers
Find the square root.<br> V121 =
lidiya [134]

Answer:

11

Step-by-step explanation:

\sqrt{121}  =  \sqrt{11 \times 11}  = 11 \\

6 0
3 years ago
two submarines, one red and one blue, started rising toward the surface at the same time.they each rose at a constant speed. the
Mnenie [13.5K]

I NEED A BIT MORE DETAIL LOL

6 0
3 years ago
12
weeeeeb [17]

Answer:

2x + y = -4

Step-by-step explanation:

standard form of equation of straight line is

ax+by = c

that  is terms containing x and y should be  on LHS and constant term should be  on RHS

______________________________________________

Given equation

y + 1 = - 2x - 3

lets bring -2x on LHS ,

add 2x on lHS and RHS

y + 1  + 2x = - 2x - 3 + 2x

=> y + 1  + 2x = -3

on lHS, 1 is there which constant term lets bring it on RHS

subtract 1 from both sides

y + 1  + 2x  - 1= -3 -1

y + 2x = -4

rearranging it

2x + y = -4  (Answer)

8 0
3 years ago
Other questions:
  • Someone came into a store and stole 100 dollars from the register. The person returned 5 minutes later and purchased 70 dollars
    6·1 answer
  • Simplify using Addition:<br> 12x-10+5x+13
    15·1 answer
  • The floor area of a square closet is 16 ft2. What is the length of one side of the closet? ft
    9·2 answers
  • Find COS Instructions: Find the value of the trigonometric ratio. Make sure to simplify the If needed
    5·1 answer
  • How do you find this answer?
    8·1 answer
  • I need to pass so yk help​
    11·1 answer
  • Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
    12·2 answers
  • Please help i giving brainliest<br><br><br><br><br><br> no links
    12·1 answer
  • What are the missing y values in the table
    15·2 answers
  • YA KNOW DA BEST IN SHIP IN THE WORLD IS? THATS DRAKE AND MELANIE #DELANIE. ITS DA BEST SHIP IN DA WORRRLLLD LEMME TELL ABOUT IT!
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!