A survey plat depicted to the right shows two lots that form a trapezoid. The measures of the parallel sides are 50.29 ft and 91.61 ft. The height of the trapezoid is 51.83 ft. Find the combined area of the two lots.

Accepted Solution

Answer:The combined area of the two lots is [tex]3,677.34\ ft^2[/tex]Step-by-step explanation:we know thatThe area of a trapezoid is equal to[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]whereb_1 and b_2 are the parallel sidesh is the height of trapezoidIn this problem we have[tex]b_1=50.29\ ft\\b_2=91.61\ ft\\h=51.83\ ft[/tex]substitute in the formula[tex]A=\frac{1}{2}(50.29+91.61)51.83[/tex][tex]A=\frac{1}{2}(141.9)51.83[/tex][tex]A=3,677.34\ ft^2[/tex]