MATH SOLVE

4 months ago

Q:
# 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

A:

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]