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
101	Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$.	11
102	Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$ and side $c = 4 \sqrt{ 3 }$.	11
103	Find the height $ h $ of a trapezoid if long base $a = 22$ and short base $b = 8$.	11
104	Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	11
105	Find the long base $ a $ of a trapezoid if short base $b = 59$ and side $c = 27$.	11
106	Find the long base $ a $ of a trapezoid if long base $a = 19$, short base $b = 15$, side $c = 5$, height $h = 5$, area $A = 90$ and angle $\beta = 90^o$.	11
107	Find the angle $ \beta $ of a trapezoid if long base $a = 25$, short base $b = 18$ and height $h = 10$.	11
108	Find the long base $ a $ of a trapezoid if long base $a = 961\, \text{ft}$, short base $b = 483\, \text{cm}$ and angle $\alpha = 54.8538^o$.	10
109	Find the long base $ a $ of a trapezoid if long base $a = 93\, \text{mm}$ and height $h = 48\, \text{cm}$.	10
110	Find the long base $ a $ of a trapezoid if side $c = 6\, \text{cm}$, median $m = 8.62\, \text{cm}$ and perimeter $P = 27.4\, \text{cm}$.	10
111	Find the angle $ \alpha $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 17.5\, \text{mm}$ and height $h = 11.5\, \text{mm}$.	10
112	Find the height $ h $ of a trapezoid if long base $a = 26$, short base $b = 19$ and side $c = 22$.	10
113	Find the long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$ and side $c = 27\, \text{cm}$.	10
114	Find the long base $ a $ of a trapezoid if short base $b = 20.3\, \text{mm}$, height $h = 8\, \text{cm}$ and angle $\beta = 157.5^o$.	10
115	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$.	10
116	Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 18$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$.	10
117	Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{yd}$, short base $b = 10\, \text{cm}$ and height $h = 3\, \text{cm}$.	10
118	Find the area $ A $ of a trapezoid if long base $a = 961$, short base $b = 483$ and angle $\alpha = 54.8538^o$.	10
119	Find the long base $ a $ of a trapezoid if long base $a = 185$ and side $c = 67$.	10
120	Find the side $ c $ of a trapezoid if long base $a = 28$, short base $b = 18$ and height $h = 10$.	10
121	Find the long base $ a $ of a trapezoid if long base $a = 0.381\, \text{cm}$, height $h = 0.2032\, \text{cm}$ and angle $\alpha = 60^o$.	10
122	Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{yd}$, short base $b = 2\, \text{cm}$ and height $h = 3\, \text{cm}$.	10
123	Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{m}$, short base $b = 10\, \text{cm}$ and angle $\alpha = 60^o$.	9
124	Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$, side $c = 13$ and height $h = 12$.	9
125	Find the long base $ a $ of a trapezoid if short base $b = 11.9\, \text{cm}$, height $h = 3.6\, \text{cm}$ and angle $\alpha = 60^o$.	9
126	Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = 12$ and angle $\alpha = 60^o$.	9
127	Find the long base $ a $ of a trapezoid if long base $a = 17.25\, \text{cm}$, side $c = 16.5\, \text{cm}$ and height $h = 16.5\, \text{cm}$.	9
128	Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 24$ and angle $\alpha = 18^o$.	9
129	Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 12\, \text{cm}$, side $c = 1314\, \text{cm}$ and height $h = 11\, \text{cm}$.	9
130	Find the height $ h $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 12.5\, \text{in}$.	9
131	Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 3.2\, \text{cm}$ and area $A = 25.5\, \text{cm}$.	9
132	Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 84^o$.	9
133	Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$ and diagonal $d = \sqrt{ 75 }\, \text{mm}$.	9
134	Find the height $ h $ of a trapezoid if long base $a = 42\, \text{ft}$, short base $b = 11\, \text{ft}$ and side $c = 32\, \text{ft}$.	9
135	Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 8\, \text{mm}$.	9
136	Find the long base $ a $ of a trapezoid if long base $a = 18.5\, \text{mm}$, short base $b = 14.5\, \text{cm}$, height $h = 22\, \text{cm}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$.	9
137	Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 4$ and angle $\beta = \frac{ 226051 }{ 2000 }^o$.	9
138	Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 18 }{ 5 }$ and angle $\alpha = 60^o$.	9
139	Find the long base $ a $ of a trapezoid if long base $a = 71.75\, \text{in}$, short base $b = 66.25\, \text{in}$ and height $h = 81.25\, \text{in}$.	9
140	Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$.	9
141	Find the short base $ b $ of a trapezoid if long base $a = 11$, side $c = 6$ and height $h = 4$.	9
142	Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$.	8
143	Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 8\, \text{cm}$, side $c = 4 \sqrt{ 3 }\, \text{cm}$ and angle $\alpha = 60^o$.	8
144	Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 12.25\, \text{in}$, height $h = 3.5\, \text{in}$, area $A = 39\, \text{in}^2$, angle $\alpha = 25^o$ and angle $\beta = 155^o$.	8
145	Find the angle $ \alpha $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 10\, \text{in}$.	8
146	Find the side $ c $ of a trapezoid if long base $a = 39.5\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 54\, \text{in}$.	8
147	Find the height $ h $ of a trapezoid if long base $a = 24$, short base $b = 18$ and side $c = 15$.	8
148	Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = 477.0327$.	8
149	Find the area $ A $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = \frac{ 241 }{ 100 }$ and height $h = \frac{ 193 }{ 100 }$.	8
150	Find the side $ c $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 12\, \text{in}$.	8