The perimeters of two similar quadrilaterals are 48 cm and 60 cm, respectively. If the area of the smaller quadrilateral is 96 c
m2, find the area of the larger quadrilateral.
1 answer:
To answer this question set up a ratio of the perimeter to the area for the small quadrilateral (48 cm:96 square cm). Create an equivalent ratio with the perimeter of the larger quadrilateral to the area of the larger a quadrilateral (60 cm:x square cm). Use cross products to answer this. See the attached work.
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Answer: 3
Step-by-step explanation:
1. Convert the mixed number to fraction:
- Multiply the denominator of the fraction by the whole number.
- Add the product obtained and the numerator of the fraction.
- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.
Then:
2. Multiply the numerators.
3. Multiply the denominator.
4. Reduce the fraction.
Then: