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. find the surface area of the smaller can. round to the nearest tenth.

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

= ( cross- multiply )

16x = 900 ( divide both sides by 16 )

x ≈ 56.3 in² ( to the nearest tenth )

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step-by-step explanation: