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If two inches are approximately equal to 5 centimeters, how much is the area of a painting in square inches if its area is 2900 square centimeters?
- a)464
- b)1160
- c)7250
- d)18125
- e)22904
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
If two inches are approximately equal to 5 centimeters, how much is th...
Step 1: Question statement and Inferences
We have been provided the relation between inches and centimeters. We have to convert an area of 2900 square centimeters into square inches.
We shall follow the following procedure:
(a) First find out, by the Unitary Method, how many inches are there in 1 centimeter.
(b) Then, find out how many square inches are there in 1 square centimeter.
(c) Lastly, find out how many square inches are there in 2900 square centimeters, which is the required answer.
Step 2: Finding required values
Given: 2 inch = 5 centimeters
Writing this equation in reverse, we get:
5 centimeters = 2 inches
=> 1 centimeter = 2/5 inch ----------------(1)
1 square centimeter = 1 centimeter X 1 centimeter
In order to find out how many square inches is 1 square centimeter, substituting the value of 1 centimeter from equation (1) in the above equation, we get
1 square centimeter = 2/5 inch * 2/5 inch
Since inch*inch is square inches,
1 square centimeter = 4/25 square inches
Step 3: Calculating the final answer
In order to find out how many square inches is 2900 square centimeters, multiplying both sides of the above equation by 2900,
2900 square centimeters = 4/25 * 2900 square inch
2900 square centimeters = 464 square inches
(A) is the correct answer.
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If two inches are approximately equal to 5 centimeters, how much is th...
Given information:
- Two inches are approximately equal to 5 centimeters.
To find:
- The area of the painting in square inches.
Approach:
- We are given the area of the painting in square centimeters and need to find the area in square inches.
- We can convert the area from square centimeters to square inches using the given conversion factor of 2 inches = 5 centimeters.
- First, we convert the area from square centimeters to square inches by dividing it by the square of the conversion factor.
- Then, we simplify the expression to find the area in square inches.
Solution:
Step 1: Convert the area from square centimeters to square inches
- The conversion factor is 2 inches = 5 centimeters.
- To convert from square centimeters to square inches, we need to divide the area by the square of the conversion factor: (5 cm/2 in)^2.
- Simplifying this expression, we get (5/2)^2 = 25/4.
Step 2: Calculate the area in square inches
- Divide the given area of 2900 square centimeters by the conversion factor (25/4) to get the area in square inches.
- 2900 cm^2 / (25/4) = 116 square inches.
Answer:
The area of the painting in square inches is 464 square inches, which corresponds to option (a).
- Two inches are approximately equal to 5 centimeters.
To find:
- The area of the painting in square inches.
Approach:
- We are given the area of the painting in square centimeters and need to find the area in square inches.
- We can convert the area from square centimeters to square inches using the given conversion factor of 2 inches = 5 centimeters.
- First, we convert the area from square centimeters to square inches by dividing it by the square of the conversion factor.
- Then, we simplify the expression to find the area in square inches.
Solution:
Step 1: Convert the area from square centimeters to square inches
- The conversion factor is 2 inches = 5 centimeters.
- To convert from square centimeters to square inches, we need to divide the area by the square of the conversion factor: (5 cm/2 in)^2.
- Simplifying this expression, we get (5/2)^2 = 25/4.
Step 2: Calculate the area in square inches
- Divide the given area of 2900 square centimeters by the conversion factor (25/4) to get the area in square inches.
- 2900 cm^2 / (25/4) = 116 square inches.
Answer:
The area of the painting in square inches is 464 square inches, which corresponds to option (a).
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If two inches are approximately equal to 5 centimeters, how much is the area of a painting in square inches if its area is 2900 square centimeters?a)464b)1160c)7250d)18125e)22904Correct answer is option 'A'. Can you explain this answer?
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