A rectangular lot is 138 ft by 167 ft. County rules require that nothing be built on land within 12 ft of any edge of
the lot. Find the dimensions of the lot that can be built
on. Then find the area of the land that cannot be built
on
What are the dimensions of the land that can be built on?
O A. 179 ft by 114 ft
OB. 143 ft by 114 ft
O C. 179 ft by 150 ft
OD. 155 ft by 126 ft

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl

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.

answer:

a=9

step-by-step explanation: lmk if you need a explanation

a

step-by-step explanation: