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
raketka [301]
3 years ago
9

A cross shaped pattern is made by arranging four identical rectangles around the sides of a square. The area of the square is 36

cm2. The area of each rectangle is one and a third times the size of the square

Mathematics
2 answers:
kipiarov [429]3 years ago
7 0

Answer:

Area of a square is length * length

Area of a rectangle is length * breadth

In the question, the area of the square is 36

And the area of the rectangle is 1(1/3) the area of the square

To find the area of the rectangle, multiply 1(1/3) by the area of the square(36)

Area of rectangle becomes, 1(1/3) * 36 = (4/3) * 36 = 48cm2

To find the perimeter of the shape, we must find the perimeter of the rectangle - perimiter of the square

Since area of square is length * length, the length of the square is 6cm

The breadth of the rectangle is equal to the length of the square, hence, b = 6cm

Since, length * breadth = 48

l * 6 = 48

l = 8

Perimeter of the shape = 4 * perimeter of rectangle - perimter of square

Perimeter of rectangle = 2(l+b)

Perimeter of sqaure = 4l

Our answer = 4 * 2(6+8) - 4(6)

= 4 * 28 - 36

= 88cm  

Step-by-step explanation:

kati45 [8]3 years ago
3 0

Answer:

88cm

Step-by-step explanation:

The complete question is to Find the perimeter of the cross-shaped pattern.

See attachment for the figure.

If  the area of the square is 36cm² , then the side length will be

s=√36=> 6cm

->If the area of each rectangle is one and a third times the area of the square

1\frac{1}{3} x 36 = 48cm²

breadth of each rectangle will be equal to the side length of the square i.e 6 cm, we will have

length x breadth = Area

length x 6 = 48

length = 8cm

Next is to find the perimeter. According to the figure, the perimeter will be

P= 4 x perimeter of rectangle - perimeter of square

P= 4 x 2(8+6) - (4 x 6) => 4 x 2(14) -24

P=88cm

Therefore,  the perimeter of the cross-shaped pattern is 88cm

You might be interested in
Find the product, give an answer in standerd form <br> (3x2+6x+2)(2x2-8+1)
Aleks [24]
-18x-24 Hope this helps
8 0
2 years ago
How many people live in the state of Tennessee?
DochEvi [55]
6.549 million in 2014 i hope this helps.
8 0
3 years ago
Read 2 more answers
What is 1/6 divided by 1/2
Blababa [14]

Answer:

The answer is 3

Step-by-step explanation:

I put the answer simplified if needed.

8 0
2 years ago
Read 2 more answers
Which of the following values are solutions to the inequality 1+5x&lt;4?<br> I.6 <br> II.5<br> III.2
Paraphin [41]

Answer:

x < .6

Step-by-step explanation:

1+5x<4

Subtract 1 from each side

1-1+5x<4-1

5x<3

Divide each side by 5

5x/5 <3/5

x < .6

4 0
3 years ago
Which set of angles shares rayAF as a common side?
Natali [406]
BAF and FAD I took the test !
3 0
3 years ago
Other questions:
  • The length of a rectangle is three times it’s width. The area of the rectangle is 48 square centimeters. Find the measures of th
    15·1 answer
  • What is the mean of 48,49,50,53,55,60,65
    14·2 answers
  • Simplify the following expression pleasee
    7·2 answers
  • There Are TWO answers to this . <br><br> I will reward brainliest
    7·1 answer
  • The coordinate plane below represents a town. Points A through F are farms in the town.
    15·1 answer
  • Hurry in test Brainliest!!!
    7·1 answer
  • What is the lower quartile of the annual wind speeds in Chicago?
    6·1 answer
  • 8.A great white shark swims 22 feet below sea level. If the angle of
    7·1 answer
  • Graph the line with slope 2 passing through the point (-5, 2)
    9·1 answer
  • Pls help me I can,t do this
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!