Mathematics: Paolo was asked to find the original dimension of an enlarged pentagon. His solution is shown next to the pentagons. A small pentagon has a bottom side length of x centimeters and left side length of 3 centimeters. A larger pentagon has a bottom side length of 8 centimeters and left side length of 12 centimeters. Write a proportion. StartFraction 3 over 12 EndFraction = StartFraction x over 8 EndFraction Cross multiply. 8 x = 36 Solve for x. x = 4.5 Not drawn to scale What error did Paolo make in

Paolo was asked to find the original dimension

Crxymia

21.01.2022

Paolo made an error when he cross multiplied the proportion

Step-by-step explanation:

The proportion is ...

$\dfrac{3}{12}=\dfrac{x}{8}$

"Cross multiply" means "multiply both sides of the equation by the product of the denominators."

$\dfrac{3}{12}(12)(8)=\dfrac{x}{8}(12)(8) \quad\text{cross multiply}\\\\(3)(8)=(x)(12) \quad\text{Paolo got something different}$

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pimuang50

21.02.2021

the answer that you're looking for is d) 5

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