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
During a sale, a grocery store gives every 13th customer a free loaf of bread. If 910 customers visit the store, how many loaves
goldfiish [28.3K]

Answer:70

Step-by-step explanation:910/13=70 so he gives away 70 loafs of bread.

5 0
3 years ago
A classic car is now selling for $2000 less than two times its original price. If the selling price is now $20,000, what was the
Otrada [13]

Answer:

$11,000

Step-by-step explanation:

Because,

20,000 + 2000 = 22,000

22,000 / 2 = 11,000

3 0
3 years ago
A tile factory earns money by a flat fee for delivery and sales price per tile sold. For one customer the tile factory shipped 1
algol13

10,000 tiles  * 0.25 = 2500

 3000 -2500 = 500

 so the delivery fee is 500 and the tiles cost 0.25 each

 so the equation would be y = 0.25x +500

Answer is C

4 0
3 years ago
Read 2 more answers
In a math class of 40 students, there are 21 female students. Which of the following does NOT represent a ratio of the number of
babymother [125]

Answer:

Everything except 21/40. That is your ratio. The denominator always

6 0
3 years ago
Spends at most 30, buys boxes of crayons that cost 2 per box, also buys a poster for 5. Wants to know how many boxes of crayons
My name is Ann [436]

Answer:

for 15 crayons box she can spend

Step-by-step explanation:

The computation of the number of crayons for which she can spend is shown below:

Given that

She can spend $30

And, the cost is 2 per box

So, for the number of crayons for which she can spend is

= $30 ÷ 2

= 15 crayons box

Hence, for 15 crayons box she can spend

The same would be relevant

4 0
3 years ago
Other questions:
  • Becky adds 3/4 gallon of gasoline into her snow thrower's empty fuel tank. She uses 1/4 gallon for the snowstorm on Friday, and
    15·1 answer
  • 17x25i don't know how to do this
    12·2 answers
  • Using the triangle below, what is Cos A?
    13·2 answers
  • In 2 days 20 hours a watch gains 20 seconds find how much time the watch will take to gain 35 seconds ??
    15·2 answers
  • Solve by completing the square x^2-10x-24=0
    8·1 answer
  • A company makes cars at two factories. Some of the cars need repairs in the first year and some do not. This two-way frequency t
    8·1 answer
  • Find the slope, or rate of change, from the graph.
    5·2 answers
  • U-5=-8 is tell solution of equation ​
    8·2 answers
  • Can someone plz help me with this one problem
    7·1 answer
  • The sum of two numbers is 1. The difference of the numbers is 9. What are 5 points
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!