Zachary wants to buy a rug for a room that is 12 ft wide and 15 ft long. He wants to leave a uniform strip of floor around the rug. He can afford to buy 108 ft2 of carpeting. What dimensions should the rug have?

Step-by-step explanation:

area of room=15×12=180 ft²

rug =108 ft²

magnification=√(108/180)=√(9/15)=3/√15

so length of rug=15×3/√15=3√15 ft

width of rug=12×3/√15=36√15/15=2.4√15 ft

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

did you get the answer yet?

step-by-step explanation: