Answered

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Paolo wrote the following equation for the perimeter of a rectangle.

[tex]\[ P = 2(l + w) \][/tex]

Which equation is equivalent to the equation Paolo wrote?

A. [tex]\( w = \frac{P - 2l}{2} \)[/tex]

B. [tex]\( w = P - 1 \)[/tex]

C. [tex]\( w = \frac{P + 2t}{2} \)[/tex]

D. [tex]\( W = P - 2i \)[/tex]

Sagot :

GinnyAnsweridn
To determine which equation is equivalent to the given equation for the perimeter of a rectangle, let's start with Paolo's equation:

[tex]\[ P = 2(l + w) \][/tex]

Our goal is to isolate [tex]\( w \)[/tex] on one side of the equation. Follow these steps:

1. Divide both sides by 2 to begin isolating [tex]\( w \)[/tex]:
[tex]\[ \frac{P}{2} = l + w \][/tex]

2. Subtract [tex]\( l \)[/tex] from both sides to solve for [tex]\( w \)[/tex]:
[tex]\[ w = \frac{P}{2} - l \][/tex]

This simplified equation matches one of the given choices. Therefore, the equation equivalent to Paolo's equation is:

[tex]\[ w = \frac{P - 2l}{2} \][/tex]
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