The linear scale factor of two similar shapes is in ratio 3:4. If the area of the smaller shape is 72cm square, find the area of
2 answers:
Answer:
128 cm²
Step-by-step explanation:
Given the scale factor of 2 similar figures is a : b , then
ratio of areas = a² : b²
Here the scale factor = 3 : 4 , thus
ratio of areas = 3² : 4² = 9 : 16
let x be the area of the larger figure then by proportion
=
( cross- multiply )
9x = 1152 ( divide both sides by 9 (
x = 128
Thus area of larger figure is 128 cm²
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Answer:
20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.
Step-by-step explanation:
We are given the following in the question:
Let x quarts of 6% butterfat milk be used and y quarts of 3% butterfat milk be used to make 60 quarts of 4% butterfat milk.
Thus, we can write the equation:
Total amount of 3% butterfat milk = 60
Thus, we can write the equation:
Solving the two equation, we get,
Thus, 20 quarts of 6% butterfat milk and 40 quarts of 3% butterfat milk is used to make 60 quarts of 4% butterfat milk.