When she arrives at the puppet theater, she must search the entire area for the geocache. on the map, the drawing of the puppet theater is 1.5 cm long and 0.5 cm wide. what is the area of the actual puppet theater? (give your answer in square meters.) show your calculations below. can you also explain how you got the answer! you so much! i really appreciate it!

The first thing you should do is observe that the theater is a rectangle.The area of a rectangle is given by
 A = l * w
 where,
 l = long
 w = width
 Substituting the values we have
 A = (1.5) * (0.5) = 0.75 cm ^ 2
 Now we must pass this to m ^ 2
 we should know that 1m = 100cm. So, we have:
 (0.75 cm ^ 2) * ((1m) / (100cm)) ^ 2 = 0.000075 m ^ 2
 answer
 the area of the current puppet theater is 0.000075 m ^ 2

Step-by-step explanation:

Let's start by squaring both sides of this equation, giving us

. We can expand the right side of this equation:

From here, we can subtract from either side, cancelling the on both sides and leaving us with the equation . Finally, we divide both sides of the equation by 10 to get the x by itself, giving us a solution of