3. two mathematicians are neighbors. each owns a separate rectangular plot of land that shares a boundary and has the
same dimensions. they agree that each has an area of 2x2 + 3x + 1 square units. one mathematician sells his plot to
the other. the other wants to put a fence around the perimeter of his new combined plot of land. how many linear
units of fencing does he need? write your answer as an expression in x.

Step-by-step explanation:

The factors of the given polynomial are (2x+1) and (x+1). We presume these are the side lengths of each rectangular plot. If the short side (x+1) was common, then the perimeter of the combined lot is ...

  4(2x+1) +2(x +1) = 10x +6 . . . units of fence for short side common

If the long side (2x+1) was common, then the perimeter of the combined lot is ...

  4(x+1) +2(2x+1) = 8x +6 . . . units of fence for long side common

true

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.