Jenny is building a rectangular garden around a tree in her yard. the southwest corner of the garden will be 2 feet south and 3 feet west of the tree. the northeast corner of the garden is 1 foot north and 4 feet east of the tree. what will be the perimeter of jenny's garden?
a. 10 ft
b. 20 ft
c. 21 ft
d. 25 ft

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the answer is d

step-by-step explanation: