# Two 2D shapes

Decide which shapes have more area:
(a) a square of 8cm side; or
(b) two rectangles with sides 5cm and 15cm?

Write result as 1 or 2 (rectangles)

Result

x =  2

#### Solution:

$a = 8 \ cm \ \\ S_{ 1 } = a^2 = 8^2 = 64 \ cm^2 \ \\ \ \\ b = 5 \ cm \ \\ c = 15 \ cm \ \\ \ \\ S_{ 2 } = 2 \cdot \ b \cdot \ c = 2 \cdot \ 5 \cdot \ 15 = 150 \ cm^2 \ \\ \ \\ S_{ 2 }>S_{ 1 } \ \\ \ \\ x = 2$

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The text passage contains a mathematical question and an answer to that question. The question asks to compare the areas of a square with an 8 cm side and two rectangles with sides of 5 cm and 15 cm. The answer provided is 2, indicating that the rectangles have a larger total area.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Two 2D shapes

Decide which shapes have more area:
(a) a square of 8cm side; or
(b) two rectangles with sides 5cm and 15cm?

Write result as 1 or 2 (rectangles)

Result

x =  2

#### Solution:

$a = 8 \ cm \ \\ S_{ 1 } = a^2 = 8^2 = 64 \ cm^2 \ \\ \ \\ b = 5 \ cm \ \\ c = 15 \ cm \ \\ \ \\ S_{ 2 } = 2 \cdot \ b \cdot \ c = 2 \cdot \ 5 \cdot \ 15 = 150 \ cm^2 \ \\ \ \\ S_{ 2 }>S_{ 1 } \ \\ \ \\ x = 2$

Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Be the first to comment!

## Next similar math problems:

1. Car crash
On the road, with a maximum permitted speed of 60 km/h, there was a car crash. From the length of the vehicle's braking distance, which was 40 m, the police investigated whether the driver did not exceed that speed. What is the conclusion of the police, as
2. Water level
How high is the water in the swimming pool with dimensions of 37m in length and 15m in width, if an inlet valve is opened for 10 hours flowing 12 liters of water per second?
3. 3d printer
3D printing ABS filament with diameter 1.75 mm has density 1.04 g/cm3. Find the length of m = 5 kg spool filament. (how to calculate length)
4. Density of the concrete
Find the density of the concrete of the cuboid-shaped column has dimensions of 20 x 20 cm x 2 m if the weight of the column is 200 kg.
5. Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D
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A car weighing 1.05 tonnes driving at the maximum allowed speed in the village (50 km/h) hit a solid concrete bulkhead. Calculate height it would have to fall on the concrete surface to make the impact intensity the same as in the first case!
7. Cu thief
The thief stole 122 meters copper wire with cross-section area of 95 mm2. Calculate how much money gets in the scrap redemption, if redeemed copper for 5.5 eur/kg? The density of copper is 8.96 t/m3.
8. Copper sheet
The copper plate has a length of 1 m, width 94 cm and weighs 9 kg. What is the plate thickness, if 1 m3 weighs 8715 kg?
9. Hydrostatic force
What hydrostatic force is applied to an area of 30 cm2 in water at a depth of 20 m? (Water density is 1000 kg/m3)
10. Copper plate
Calculate the thickness of the copper plate with a density 8.7 g/cm³ measuring 1.5 meters and 80 cm and its weight is 3.65 kg
11. Orlík hydroelectric plant
The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m3/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed power of the p
12. Pump
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13. Friction coefficient
What is the weight of a car when it moves on a horizontal road at a speed of v = 50 km/h at engine power P = 7 kW? The friction coefficient is 0.07
14. Traffic collision
When investigating a traffic accident, it was found that the driver stopped the vehicle immediately after the accident by constant braking on a 150 m track in 15 seconds. Do you approve that the driver exceeded the permitted speed (50 km/h) in the village
15. Basic form
Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m3 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m3 6 min 30 s : 900 s
16. Tower model
Tower height is 300 meters, weight 8000 tons. How high is the model of the tower weight 1 kg? (State the result in the centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. The result is a three-dig
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Gasoline is stored in a cuboid canister having dimensions 44.5 cm, 30 cm, 16 cm. What is the total weight of a full canister when one cubic meter of gasoline weighs 710 kg and the weight of empty canister is 1.5 kg?
user
The text passage contains a mathematical question and an answer to that question. The question asks to compare the areas of a square with an 8 cm side and two rectangles with sides of 5 cm and 15 cm. The answer provided is 2, indicating that the rectangles have a larger total area.

TYPE: SINGLE_QUESTION_WITH_ANSWER