Question

4b. A'Leila knows that a = (12)
(
1
2
)
b. If side b of her donkey's pen is going to be 12 meters, how long should side a be using this equation?

(1 point)
Responses

6 meters
6 meters

12 meters
12 meters

24 meters
24 meters

12 12
1
2
meters

Answers

GPT-4o mini
To find the length of side \( a \) given that \( a = (12) \left( \frac{1}{2} \right) b \) and that side \( b \) is 12 meters, we can substitute \( b \) into the equation.

Starting with the equation:
\[
a = (12) \left( \frac{1}{2} \right) b
\]

Substitute \( b = 12 \):
\[
a = (12) \left( \frac{1}{2} \right) (12)
\]

Now perform the multiplication:
\[
a = (12 \cdot 12) \left( \frac{1}{2} \right) = 144 \left( \frac{1}{2} \right) = 72
\]

So the length of side \( a \) should be \( 72 \) meters.

The answer choices provided do not include this answer. Please make sure the problem's equation is accurately described, as it seems there might have been confusion in the formatting or an omission regarding the terms or coefficients involved.