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
3001	Find the area $ A $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 14\, \text{mm}$.	2
3002	Find the long base $ a $ of a trapezoid if long base $a = 16.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 6\, \text{in}$.	2
3003	Find the side $ c $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 12.4\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 64^o$.	2
3004	Find the side $ c $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 12.4\, \text{in}$ and angle $\alpha = 64^o$.	2
3005	Find the side $ c $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and angle $\alpha = 64^o$.	2
3006	Find the side $ c $ of a trapezoid if long base $a = 18.5\, \text{in}$ and short base $b = 16.5\, \text{in}$.	2
3007	Find the median $ m $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16.5\, \text{in}$ and height $h = 9\, \text{in}$.	2
3008	Find the height $ h $ of a trapezoid if long base $a = 39.4\, \text{ft}$, short base $b = 10.15\, \text{ft}$ and angle $\alpha = 26.57^o$.	2
3009	Find the height $ h $ of a trapezoid if long base $a = 39.4\, \text{ft}$, short base $b = 10.15\, \text{ft}$ and angle $\beta = 153.43^o$.	2
3010	Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{mm}$, height $h = 21\, \text{mm}$ and angle $\alpha = 45^o$.	2
3011	Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{cm}$, short base $b = 40\, \text{cm}$ and side $c = 120\, \text{cm}$.	2
3012	Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{ft}$, height $h = 8\, \text{ft}$ and angle $\beta = 127^o$.	2
3013	Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, side $c = 2\, \text{ft}$, diagonal $d = 2\, \text{ft}$, angle $\alpha = 8^o$ and angle $\beta = 8^o$.	2
3014	Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{ft}$, height $h = 2\, \text{ft}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$.	2
3015	Find the short base $ b $ of a trapezoid if long base $a = 10.6\, \text{mm}$, height $h = 14\, \text{mm}$ and area $A = 187.6\, \text{mm}^2$.	2
3016	Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{cm}$, short base $b = 12\, \text{cm}$ and height $h = 17\, \text{cm}$.	2
3017	Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, side $c = 21.5\, \text{mm}$ and angle $\beta = 45^o$.	2
3018	Find the long base $ a $ of a trapezoid if short base $b = 25.4\, \text{mm}$, side $c = 487\, \text{mm}$ and angle $\beta = 45^o$.	2
3019	Find the angle $ \alpha $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 14.5\, \text{in}$.	2
3020	Find the angle $ \beta $ of a trapezoid if long base $a = 18.5\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 14.5\, \text{in}$.	2
3021	Find the long base $ a $ of a trapezoid if long base $a = 27\, \text{in}$ and angle $\alpha = 15^o$.	2
3022	Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$, diagonal $d = 40\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$.	2
3023	Find the long base $ a $ of a trapezoid if height $h = 4\, \text{mm}$ and median $m = 8\, \text{mm}$.	2
3024	Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{ft}$, short base $b = 8\, \text{ft}$ and height $h = 10\, \text{ft}$.	2
3025	Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, side $c = 1\, \text{mm}$ and angle $\alpha = 72^o$.	2
3026	Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$.	2
3027	Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{in}$, short base $b = 12\, \text{in}$, angle $\alpha = 40^o$ and angle $\beta = 65^o$.	2
3028	Find the short base $ b $ of a trapezoid if long base $a = 50\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 45^o$.	2
3029	Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 17.5\, \text{mm}$ and side $c = 17.5\, \text{mm}$.	2
3030	Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 7\, \text{mm}$.	2
3031	Find the area $ A $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 7\, \text{mm}$.	2
3032	Find the side $ c $ of a trapezoid if long base $a = 3.1\, \text{mm}$ and angle $\alpha = 45^o$.	2
3033	Find the side $ c $ of a trapezoid if long base $a = 3.1\, \text{mm}$, short base $b = 1.55\, \text{mm}$ and angle $\alpha = 45^o$.	2
3034	Find the long base $ a $ of a trapezoid if long base $a = 13.33\, \text{in}$, short base $b = 12.4166\, \text{in}$, side $c = 10.16\, \text{in}$ and height $h = 9.33\, \text{in}$.	2
3035	Find the area $ A $ of a trapezoid if long base $a = 13.33\, \text{in}$, short base $b = 12.4166\, \text{in}$, side $c = 10.16\, \text{in}$ and height $h = 9.33\, \text{in}$.	2
3036	Find the area $ A $ of a trapezoid if long base $a = 160\, \text{in}$, short base $b = 149\, \text{in}$ and side $c = 122\, \text{in}$.	2
3037	Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 72.75\, \text{in}$.	2
3038	Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 72.75\, \text{in}$.	2
3039	Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 22\, \text{in}$, side $c = 73.9024\, \text{in}$ and height $h = 72.75\, \text{in}$.	2
3040	Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 72.75\, \text{in}$.	2
3041	Find the angle $ \beta $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 72.75\, \text{in}$.	2
3042	Find the angle $ \beta $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4.4\, \text{mm}$ and height $h = 1.5\, \text{mm}$.	2
3043	Find the long base $ a $ of a trapezoid if short base $b = 1545\, \text{mm}$, side $c = 600\, \text{mm}$ and diagonal $d = 805\, \text{mm}$.	2
3044	Find the long base $ a $ of a trapezoid if long base $a = 7.8\, \text{ft}$, short base $b = 3.2\, \text{cm}$ and side $c = 5.8\, \text{cm}$.	2
3045	Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, side $c = 60\, \text{mm}$ and height $h = 30\, \text{mm}$.	2
3046	Find the side $ c $ of a trapezoid if long base $a = 52\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 30^o$.	2
3047	Find the height $ h $ of a trapezoid if long base $a = 270.82\, \text{in}$, short base $b = 79.12\, \text{in}$ and side $c = 113.62\, \text{in}$.	2
3048	Find the long base $ a $ of a trapezoid if long base $a = 52\, \text{mm}$, height $h = 3\, \text{mm}$ and angle $\alpha = 15^o$.	2
3049	Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{mm}$ and side $c = 5\, \text{mm}$.	2
3050	Find the height $ h $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 12\, \text{mm}$ and side $c = 25\, \text{mm}$.	2