How many square feet of carpet will be needed to recarpet the hallway? a. 197 square feet b. 321 square feet c. 425 square feet d. 554 square feet e. 672 square feet

ANSWER

The correct answer is A

EXPLANATION

We divide the hallway into 2 rectangles as shown in the diagram attached.

The length of the longer is 25 and the with is 5 feet.

The area of this rectangle

square feet

The smaller rectangle has length 6 feet and width 12 feet

The area of the smaller rectangle

square feet

Adding the two areas gives the area of the hallway

square feet

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

source:

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step-by-step explanation: