Greg is interested in buying a plot of land.

Question

He is looking at a plot in the shape of a right triangle. A dirt road makes an altitude to the longest side of the plot and cuts the longest side into 2 parts that measure 65 ft and 83 ft. Find the area of the land to the nearest square foot. Find the perimeter of the land to the nearest foot.

Answer 1

altitude = about 73.45

= sqr((148^2 -65^2 -83^2)/2) = 73.45

Area = 148a/2 = 74a = about 74(73.45) =5,435.3 square feet = about 5,435 ft.

Perimeter = 65+83 + 2 legs

= 148 + sqr(65^2 +73.45^2) + sqr(83^2 + 73.45^2) = about 356.91 feet = about 357 ft