the ratio of the corresponding linear measures of two similar cans of cat food is 4:3. the larger can has a SA of 100 inches. fi nd the surface area of the smaller can. round to the nearest tenth.
1 answer:
Answer:
56.3 in²
Step-by-step explanation:
Given 2 similar figures with linear ratio = a : b, then
area ratio = a² : b²
Here linear ratio = 4 : 3, thus
area ratio = 4² : 3² = 16 : 9
Let x be the surface area of the smaller can then by proportion
16x = 900 ( divide both sides by 16 )
x ≈ 56.3 in² ( to the nearest tenth )
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