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
Serggg [28]
3 years ago
11

A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.

Mathematics
1 answer:
denpristay [2]3 years ago
5 0

The perimeter of the square is: 20\sqrt2 ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100

Dividing both sides by 2

\frac{2a^2}{2}=\frac{100}{2}\\a^2=50

Taking Square root on both sides

\sqrt{a^2}=\sqrt{50}\\a=\sqrt{25*2}\\a=\sqrt{5^2 * 2}\\a=5\sqrt{2}\ ft

Now,

P = 4a\\P = 4 * 5\sqrt{2}\\=20\sqrt{2}\ ft

Hence,

The perimeter of the square is: 20\sqrt2 ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#learnwithBrainly

You might be interested in
The volume of a sphere is 267.95 m2. To the nearest meter, what is the radius of the sphere? Use
Novosadov [1.4K]

Answer:

4m

Step-by-step explanation:

  1. v=4/3 pi r^3
  2. substitute 267.95=4/3×3.14×r^3
  3. 267.95= 12.56r^3/3
  4. multiply by the reciprocal on both sides 64=r^3
  5. find the cuberoot on both sides to remove the cube hence 4=r
3 0
3 years ago
The figure in the picture is made up of 5 congruent squares. If the perimeter of the entire figure is 21.6 cm, find its area.
vovikov84 [41]
Perimeter is length plus width so use that to help you
3 0
3 years ago
Plz awnser i have ixl and ive already crack my screen so help no explanation just awnsrr
rjkz [21]
The answer is 6c=2.75 hope this helps
3 0
3 years ago
Help plz :((<br> I'll give brainliest
AleksAgata [21]
A) condensation
B) the air around the glass of ice water is cooled. Moisture in the air condenses out once the temperature of the air reaches below the dew point.
C) evaporation
D) as the water is left out the warm temperatures allows the water to evaporate over time.
8 0
3 years ago
Read 2 more answers
Three times a number less than the sum of twice the number and 1
BabaBlast [244]
That would be 3n<2n+1
4 0
3 years ago
Other questions:
  • 9=10<br> 8=18<br> 7=24<br> 6=28<br> 5=30<br> 3=??
    8·1 answer
  • Which ordered pairs are solutions to the inequality 4x+y&gt;−6?
    5·1 answer
  • Please answer it now in two minutes
    5·2 answers
  • Please help im not understanding please check this before skippping over it
    15·2 answers
  • I dont understand this
    11·1 answer
  • Can someone please answer these (real answers only)
    11·2 answers
  • Evaluate 3x^2 - x for x = -2​
    8·1 answer
  • Solve this<br> 18 ≤ −6x − 30
    7·2 answers
  • Help me! ill give brainiest. this is my finals and im not doing good!
    11·2 answers
  • Surface area=<br> Volume =<br> Help me please thanks
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!