Question

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 1

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)