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review & refresh find the values of the ratios (red to blue) of the per…

Question

review & refresh
find the values of the ratios (red to blue) of the perimeters and areas of the similar figures.
1.
2.
evaluate the expression.

  1. ( 4 + 3 ^ { 2 } )
  2. ( 5 ( 2 ) ^ { 2 } - 6 )
  3. ( 11 + ( - 7 ) ^ { 2 } - 9 )

Explanation:

Step1: Calculate \(3^{2}\)

\(3^{2}=3\times3 = 9\)

Step2: Add \(4\) and the result of \(3^{2}\)

\(4 + 9=13\)

Step1: Calculate \(2^{2}\)

\(2^{2}=2\times2 = 4\)

Step2: Multiply \(5\) and the result of \(2^{2}\)

\(5\times4 = 20\)

Step3: Subtract \(6\) from the result of \(5\times2^{2}\)

\(20-6 = 14\)

Step1: Calculate \((-7)^{2}\)

\((-7)^{2}=(-7)\times(-7)=49\)

Step2: Add \(11\) and the result of \((-7)^{2}\)

\(11 + 49=60\)

Step3: Subtract \(9\) from the result of \(11+(-7)^{2}\)

\(60-9 = 51\)

Answer:

  1. \(13\)
  2. \(14\)
  3. \(51\)