Calculate House size
publish date: 2024/03/16 12:57:51.226326 UTC
volume_muteMr. Ibrahim is searching for a house to buy. The website shows the details of the house where the land size is 350 m2 and the house occupies 60% of the land. How many meter squares does the house occupy?
House size =
Correct Answer
Explanation
The house size = \(\frac{60}{100} \cdot 350\)
Break the fraction into its factors
$= \frac{2 \cdot 3 \cdot 2 \cdot 5}{2 \cdot 5 \cdot 5 \cdot 2} \cdot 350$
Simplify the fraction
$\require{cancel} = \frac{\cancel{2}^1 \cdot 3 \cdot \cancel{2}^1 \cdot \cancel{5}^1}{\cancel{2}_1 \cdot \cancel{5}_1 \cdot 5 \cdot \cancel{2}_1} \cdot 350 = \frac35 \cdot 350 = \frac{3 \cdot 350}{5}$
Divide 350 by 5
$\require{cancel} \frac{3 \cdot \cancel{350}^{70}}{\cancel{5}_1} = 3 \cdot 70 = 210 m^2$
Reference
go-math-science.com