Trapezoid

(the database of solved problems)

All the problems and solutions shown below were generated using the Trapezoid Calculator.

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ID	Problem	Count
2001	Find the short base $ b $ of a trapezoid if long base $a = 28.5\, \text{in}$, side $c = 39\, \text{in}$ and height $h = 18.5\, \text{in}$.	2
2002	Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 28.5\, \text{in}$ and height $h = 20\, \text{in}$.	2
2003	Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, side $c = 28.5\, \text{in}$ and height $h = 20\, \text{in}$.	2
2004	Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 20\, \text{in}$.	2
2005	Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 84\, \text{in}$.	2
2006	Find the side $ c $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 84\, \text{in}$.	2
2007	Find the side $ c $ of a trapezoid if long base $a = 40.5\, \text{in}$, height $h = 20\, \text{in}$ and angle $\alpha = 45^o$.	2
2008	Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{mm}$, side $c = 3\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$.	2
2009	Find the long base $ a $ of a trapezoid if long base $a = 3.1\, \text{mm}$, short base $b = 2.5\, \text{mm}$, side $c = 2.8\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
2010	Find the long base $ a $ of a trapezoid if long base $a = 3.1\, \text{mm}$, short base $b = 2.5\, \text{mm}$, side $c = 2.8\, \text{mm}$, height $h = 2.8\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
2011	Find the long base $ a $ of a trapezoid if long base $a = 1.65\, \text{mm}$, short base $b = 1.262\, \text{mm}$ and height $h = 1.5\, \text{mm}$.	2
2012	Find the angle $ \alpha $ of a trapezoid if long base $a = 1.652\, \text{mm}$, short base $b = 1.281\, \text{mm}$ and height $h = 1.5\, \text{mm}$.	2
2013	Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{cm}$, short base $b = 16\, \text{cm}$ and side $c = 10.5\, \text{cm}$.	2
2014	Find the area $ A $ of a trapezoid if long base $a = 19\, \text{cm}$, short base $b = 16\, \text{cm}$ and side $c = 10.5\, \text{cm}$.	2
2015	Find the long base $ a $ of a trapezoid if long base $a = 119.5\, \text{in}$, short base $b = 91.5\, \text{in}$ and height $h = 24.375\, \text{in}$.	2
2016	Find the angle $ \alpha $ of a trapezoid if long base $a = 119.5\, \text{in}$, short base $b = 91.5\, \text{in}$ and height $h = 24.375\, \text{in}$.	2
2017	Find the long base $ a $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and side $c = 16\, \text{in}$.	2
2018	Find the height $ h $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and side $c = 12\, \text{in}$.	2
2019	Find the height $ h $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 46\, \text{in}$ and height $h = 16\, \text{in}$.	2
2020	Find the side $ c $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and height $h = 16\, \text{in}$.	2
2021	Find the angle $ \alpha $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 29\, \text{in}$ and side $c = 16\, \text{in}$.	2
2022	Find the side $ c $ of a trapezoid if long base $a = 46\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 57.91^o$.	2
2023	Find the height $ h $ of a trapezoid if long base $a = 46\, \text{in}$, side $c = 16\, \text{in}$ and angle $\alpha = 57.91^o$.	2
2024	Find the side $ c $ of a trapezoid if long base $a = 220\, \text{cm}$, short base $b = 96.5\, \text{cm}$ and height $h = 70\, \text{cm}$.	2
2025	Find the angle $ \alpha $ of a trapezoid if long base $a = 0.384\, \text{mm}$, short base $b = 0.332\, \text{mm}$ and height $h = 0.39\, \text{mm}$.	2
2026	Find the long base $ a $ of a trapezoid if long base $a = 7.4\, \text{m}$, short base $b = 5.5\, \text{m}$ and height $h = 6\, \text{m}$.	2
2027	Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 28\, \text{in}$.	2
2028	Find the angle $ \alpha $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 28\, \text{in}$.	2
2029	Find the side $ c $ of a trapezoid if short base $b = 12\, \text{in}$, height $h = 21\, \text{in}$ and median $m = 21\, \text{in}$.	2
2030	Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and area $A = 108\, \text{mm}^2$.	2
2031	Find the long base $ a $ of a trapezoid if short base $b = 8.2647\, \text{mm}$, height $h = 7\, \text{mm}$ and angle $\alpha = 70^o$.	2
2032	Find the height $ h $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 7.4\, \text{mm}$ and side $c = 9\, \text{mm}$.	2
2033	Find the height $ h $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 1.6\, \text{mm}$ and side $c = 11.2\, \text{mm}$.	2
2034	Find the angle $ \alpha $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 3.2\, \text{mm}$ and side $c = 8\, \text{mm}$.	2
2035	Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 108\, \text{in}$.	2
2036	Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, side $c = 21\, \text{mm}$ and height $h = 19\, \text{mm}$.	2
2037	Find the side $ c $ of a trapezoid if long base $a = 38\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 19\, \text{mm}$.	2
2038	Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 17\, \text{mm}$.	2
2039	Find the short base $ b $ of a trapezoid if long base $a = 36\, \text{mm}$, side $c = 21\, \text{mm}$ and height $h = 17\, \text{mm}$.	2
2040	Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 5\, \text{mm}$ and angle $\alpha = 22.5^o$.	2
2041	Find the angle $ \beta $ of a trapezoid if height $h = 20\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$.	2
2042	Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$ and height $h = 16\, \text{mm}$.	2
2043	Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 16\, \text{ft}$.	2
2044	Find the area $ A $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 3\, \text{ft}$, side $c = 5\, \text{ft}$ and height $h = 4\, \text{ft}$.	2
2045	Find the height $ h $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 3.5\, \text{in}$ and side $c = 8\, \text{in}$.	2
2046	Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{cm}$, diagonal $d = 1\, \text{cm}$ and height $h = 8\, \text{cm}$.	2
2047	Find the long base $ a $ of a trapezoid if short base $b = 17\, \text{in}$, side $c = 14\, \text{in}$ and diagonal $d = 14\, \text{in}$.	2
2048	Find the long base $ a $ of a trapezoid if short base $b = 0.25\, \text{in}$, height $h = 0.875\, \text{in}$ and angle $\beta = 135^o$.	2
2049	Find the long base $ a $ of a trapezoid if short base $b = 6.35\, \text{mm}$, height $h = 9\, \text{mm}$ and angle $\beta = 120^o$.	2
2050	Find the long base $ a $ of a trapezoid if short base $b = 6.35\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\beta = 135^o$.	2