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14. a poster is 15 inches wide by 24 inches tall. a smaller version of …

Question

  1. a poster is 15 inches wide by 24 inches tall. a smaller version of the same poster is created using a scale factor of $\frac{2}{3}$. what is the area of the smaller poster?

Explanation:

Step1: Find the new width

Multiply original width by scale factor.
$15\times\frac{2}{3}=10$ inches

Step2: Find the new height

Multiply original height by scale factor.
$24\times\frac{2}{3}=16$ inches

Step3: Calculate the area of the smaller poster

Use area formula for rectangle $A = lw$.
$A=10\times16 = 160$ square - inches

Answer:

160 square inches