Calculate the percentage of the given quantity.
[tex]$20 \% \text { of } 38 m^2$[/tex]
Answer (2)
To calculate 20% of 38 m 2 , convert the percentage to decimal form as 0.20 and multiply it by 38 m 2 , resulting in 7.6 m 2 . This means that 20% of the area is 7.6 m 2 .
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Convert the percentage to a decimal: 20% = 0.20 .
Multiply the decimal by the quantity: 0.20 × 38 m 2 = 7.6 m 2 .
The result is the percentage of the given quantity.
Therefore, 20% of 38 m 2 is 7.6 m 2 .
Explanation
Understanding the problem We need to calculate 20% of 38 m 2 . This means we want to find what amount is equivalent to 20 out of every 100 parts of 38 m 2 .
Converting percentage to decimal To find a percentage of a quantity, we first convert the percentage to a decimal. We do this by dividing the percentage by 100. So, 20% = 100 20 = 0.20 .
Multiplying decimal by quantity Now, we multiply the decimal by the quantity to find the amount. In this case, we multiply 0.20 by 38 m 2 : 0.20 × 38 m 2 = 7.6 m 2
Final Answer Therefore, 20% of 38 m 2 is 7.6 m 2 .
Examples
Imagine you are designing a garden and you want to cover 20% of a 38 square meter area with flowers. This problem helps you calculate exactly how many square meters should be dedicated to flowers, ensuring a balanced and aesthetically pleasing garden design. Knowing how to calculate percentages of areas is useful in landscaping, interior design, and many other practical applications.
