A rectangular room has coordinates Q (2,2), R (7,2), S (7,5), and T (2,5) on the blueprint. The homeowner wants this room to be 25% larger. What are the coordinates of the new room? On the blueprint, 1/4 inch equals 1 foot in the actual house.

Answer: Q" (10,10), R" (35,10), S" (35,25), T" (10,25)

Step-by-step explanation:

Given: On the blueprint, 1/4 inch equals 1 foot in the actual house.

Therefore, 1 inch of blue print = 4 feet of room.

The coordinates of the room will be [multiply 4 to the coordinates of rectangle]

Q (2,2) → Q' (8,8)

R (7,2) →R' (28,8)

S (7,5) →S' (28,20)

and T (2,5) →T' (8,20)

The homeowner wants this room to be 25% larger.

Let x be the dimension of current room. then the dimension of new room = x+25% of x

=x+0.25x=1.25x

So for dilate the room by 25% multiply 1.25 on the coordinates of the enlarged room, we get

Q' (8,8) →Q" (10,10)

R' (28,8) →R" (35,10)

S' (28,20) →S" (35,25)

T' (8,20) →T" (10,25)