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
Vaselesa [24]
3 years ago
7

The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

the actual floor? What is the ratio of the area in the drawing to the actual area
Mathematics
1 answer:
lilavasa [31]3 years ago
8 0

Answer:

1.\boxed{\text{400 ft}^{2}}; 2. \boxed{\frac{1}{3716}}

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is  

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is  

A = l² = (20 ft)² = \boxed{\text{400 ft}^{2}}\\

Step 2. Calculate the area ratios

We must express both areas in the same units.  

Let's express the area of the room in square centimetres.

l = 20 ft ×  (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\

The ratio of the area in the drawing to the actual area is \boxed{\frac{1}{3716}}

You might be interested in
1) If the parent function is f(x)=\xl, which transformation would shift the
gayaneshka [121]

Answer:

The last one.

Step-by-step explanation:

4 0
3 years ago
How can we define the radius of a circumference?
UkoKoshka [18]
It is basically the halfway through the circle 
8 0
3 years ago
My question is attached below.
Stells [14]

Answer:

click the 2nd 1

Step-by-step explanation:

5 0
3 years ago
Can you help me on my homework plz ​
diamong [38]

Answer:

here to help first of all=circle rusty =then underline slide which is the noun

now u do the rest

Step-by-step explanation:

4 0
3 years ago
Which of the following expressions are equivalent to 6 + (-4) - 5 ?
Gekata [30.6K]

Answer:

A

C

Step-by-step explanation:

A and C gives same result....

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the circumference and Area of a circle with radius 7 yd<br> Use the value 3.14 to help
    12·1 answer
  • 9 more than 4 times a number is the same as one less than twice the number . find the number
    9·1 answer
  • 4 out of 5 marbles are red
    14·1 answer
  • The perimeter of a rectangular garden is 78 feet. The width is 11 feet shorter than the length. Write an equation to find the di
    10·2 answers
  • Simplify (5 + 1)^2- (11 +32) divided by 4
    10·1 answer
  • Choose the graph of the following equation 64(x+1)^2+36y^2=48^2
    10·1 answer
  • Multiply: (2x+5)(3−4x)
    11·1 answer
  • A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks?
    5·1 answer
  • Find the slope of the line that passes through the pair of points (5,-6),(2,-3)​
    6·1 answer
  • HELP!!!! I can’t figure this out
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!