Question

Carla needs to fence her triangularplot of land. The angle between thetwo shorter sides measures 83°. Theshortest side is 122 ft and thelongest is 215 ft. How muchfencing does Carla need? What isthe area of her plot of land?

Answer 1

Okay, here we have this:

Considering the provided information, and measures, we are going to calculate the requested amount of fencing anf the area, so we obtain the following:

Where the amount that she needs to fence corresponds to the perimeter, therefore it will be:

Perimeter=122 ft+ 215 ft+ 192.525 ft

Perimeter=529.525 ft

She needs 529.525 ft to fence the ground.

And the area of the land is:

Area=absin(c)/2=193.525(122)sin(83°)/2

Area=11,656.5 ft^2

Finally we obtain that