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Megan’s room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed. Square of side four meter. Rectangle is drawn adjacent to it with a width of x. Part A Which expression represents the new area of Megan’s room? A. 4x B. x + 4 C. 4(4 + x) D. 6(4 + x) Part B By how many square meters has the area of Megan’s room increased? Enter the number in the box.

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Answer:

Part A: The new area of Megan's room can be found by multiplying the previous area by 175%, which is equivalent to multiplying it by 1.75. The previous area of the room is the square of side four meters, which is 4 * 4 = 16 square meters.

To find the new area, we can multiply the previous area by 1.75:

New area = 16 * 1.75 = 28 square meters.

So, the expression that represents the new area of Megan's room is 28.

Part B: To find the increase in area, we need to subtract the previous area from the new area.

Increase in area = New area - Previous area

Increase in area = 28 - 16 = 12 square meters.

Therefore, the area of Megan's room has increased by 12 square meters.

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