Question

A plan to expand Megan's room will make the length of the room 180% of 2 times the current length. What will be the new length of her room?

A) 360% of the current length
B) 260% of the current length
C) 380% of the current length
D) 200% of the current length

Answer 1

The new length of Megan's room after expansion will be 360% of the current length, which means it is expanded to 180% of twice its original size. Hence, the correct answer is (A) 360% of the current length.

Step-by-step explanation:

The question asks about the new length of Megan's room after a planned expansion. The expansion will make the length of the room 180% of 2 times the current length. To find the new length, you first multiply the current length by 2, as the plan is to expand to twice the current length. Then, you take 180% of this doubled length.

Since 100% of any amount is just the amount itself, 180% means you will have 1.8 times the amount. Therefore, if you double the room's length (which is 100% of the current length times 2), you actually have 200% of the current length. Next, taking 180% of this doubled length (which is calculating 1.8 times 200%), you will get 360% of the original length.

So, the new length of Megan's room will be 360% of the current length, which means the correct answer is (A) 360% of the current length.