evaluate the perimeter of the plot of landa 260

Question

Evaluate the perimeter of the plot of land.

a. 260 m

b. 340 m

c. 360 m

d. 320 m

To evaluate the perimeter, we must know the length of all sides. According to the diagram, we must ?nd the length of the hypotenuse for the triangular regions C and B. Using the Pythagorean theorem for triangular region B, 30² + 40² = c²; 900 + 1,600 = c²; 2,500 = c²; 50 m = c. The hypotenuse for triangular region C is also 50 m since the legs are 40 m and 30 m as well. Now adding the length of all sides, 40 m + 100 m + 30 m + 50 m + 30 m + 50 m + 60 m = 360 m, the perimeter of the plot of land. If you select a, you did not determine in the hypotenuse on either triangle. If you select b, you miscalculated the hypotenuse as having a length of 40 m. If you select d, you miscalculated the hypotenuse as having a length of 30 m.