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01.03.2020 •
Mathematics
Megan’s room was remodeled. The new area of the room is 175% of the previous area. Only the length of the room changed.
Which expression represents the new area of Megan’s room?
A. 4x
B. x + 4
C. 4(4 + x)
D. 6(4 + x)
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Ответ:
OPTION C
Step-by-step explanation:
The missing figure is attached.
Observe in the figure that the shape of Megan's old room was an square.
The area of square can be found with this formula:
Where "s" is the length of any side of the square.
In this case you know that:
Then, subsituting this value into the formula, you get that the area of her room was the following:
As you can see in the figure, now the shape of Megan's new room is rectangular.
The area of a rectangle can be found with this formula:
Where "l" is the length and "w" is the width of the rectangle.
You can identify in the figure that:
Therefore, you can write the following equation to represent the new area of Megan's room:
Ответ:
6 11/12
Step-by-step explanation:
4 1/6 + 2 3/4
Get a common denominator of 12
4 1/6 *2/2 + 2 3/4 *3/3
4 2/12 + 2 9/12
6 11/12