The diagram shows the shape of a plot of land that maria will use for her garden.

she needs to know the length of each side so she can buy fencing. what is the length of line segment fj?

a. 18ft
b. 30ft
c. 36ft
d. 40ft

If you were to drop a vertical line from G to the base, there would be a square on the right side with sides of length 24ft.  On the left would be a right triangle with a hypotenuse of 30ft and a vertical leg to 24ft.  It's base could then be found using the Pythagorean Theorem.

h^2=x^2+y^2, where h is the length of the hypotenuse of a right triangle and x and y are the side lengths.  In this case we have:

30^2=24^2+b^2, b is the length of the base of the triangle on left side...

900=576+b^2

b^2=324

b=18 ft

So that base length must be added to 24 ft to get the total length of FJ so:

FJ=18+24=42ft

Iagree that is the answer to the question