Apiece of wire 10m long is cut into two pieces. onepiece is
bent into a square and the other is bent into acircle. how should
the wire be cut so that the total areaenclosed is a maximum?
a design for a rectangular bus stop consists of two
squaresides, a back and top. the materials cost $7 per square
footfor the top and $3 per square foot for the sides and theback.
if the volume is to be 1200 cubic feet, find thedimensions that
minimize the cost.

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 .