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 long base $ a $ of a trapezoid if short base $b = 59\, \text{cm}$ and side $c = 27\, \text{cm}$.	10
102	Find the long base $ a $ of a trapezoid if long base $a = 93\, \text{mm}$ and height $h = 48\, \text{cm}$.	10
103	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
104	Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 24$.	10
105	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
106	Find the area $ A $ of a trapezoid if long base $a = 961$, short base $b = 483$ and angle $\alpha = 54.8538^o$.	10
107	Find the long base $ a $ of a trapezoid if long base $a = 185$ and side $c = 67$.	10
108	Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mi}$, short base $b = 2.5\, \text{cm}$ and side $c = 24\, \text{cm}$.	10
109	Find the side $ c $ of a trapezoid if long base $a = 28$, short base $b = 18$ and height $h = 10$.	10
110	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
111	Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$, side $c = 13$ and height $h = 12$.	9
112	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
113	Find the long base $ a $ of a trapezoid if long base $a = 961\, \text{ft}$, short base $b = 483\, \text{cm}$ and side $c = 493.7467\, \text{cm}$.	9
114	Find the long base $ a $ of a trapezoid if short base $b = 16$, height $h = 12$ and angle $\alpha = 60^o$.	9
115	Find the short base $ b $ of a trapezoid if long base $a = 72$, height $h = 24$ and angle $\alpha = 18^o$.	9
116	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
117	Find the long base $ a $ of a trapezoid if short base $b = 8\, \text{cm}$, height $h = 1.5\, \text{cm}$ and angle $\beta = 104^o$.	9
118	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
119	Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{yd}$, short base $b = 10\, \text{cm}$ and height $h = 3\, \text{cm}$.	9
120	Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 4$ and angle $\beta = \frac{ 226051 }{ 2000 }^o$.	9
121	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
122	Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{mm}$, short base $b = 10\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 106^o$.	9
123	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
124	Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$.	9
125	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
126	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
127	Find the short base $ b $ of a trapezoid if long base $a = 11$, side $c = 6$ and height $h = 4$.	9
128	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
129	Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{yd}$, short base $b = 2\, \text{cm}$ and height $h = 3\, \text{cm}$.	9
130	Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$.	8
131	Find the area $ A $ of a trapezoid if long base $a = \frac{ 69 }{ 20 }$, short base $b = \frac{ 9 }{ 5 }$ and side $c = \frac{ 42 }{ 5 }$.	8
132	Find the side $ c $ of a trapezoid if long base $a = 230\, \text{cm}$, height $h = 50\, \text{cm}$ and perimeter $P = 530\, \text{cm}$.	8
133	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
134	Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{cm}$, height $h = 69.6\, \text{cm}$ and angle $\alpha = 75^o$.	8
135	Find the height $ h $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 15.25\, \text{mm}$.	8
136	Find the of a trapezoid if long base $a = 1895$, short base $b = 1126$ and height $h = 698$.	8
137	Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mm}$, short base $b = 15\, \text{cm}$, side $c = 5\, \text{cm}$, height $h = 5\, \text{cm}$, area $A = 90\, \text{cm}$ and angle $\beta = 90^o$.	8
138	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
139	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
140	Find the long base $ a $ of a trapezoid if side $c = 41\, \text{cm}$, height $h = 40\, \text{cm}$ and median $m = 45\, \text{cm}$.	8
141	Find the height $ h $ of a trapezoid if long base $a = 24$, short base $b = 18$ and side $c = 15$.	8
142	Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 84^o$.	8
143	Find the long base $ a $ of a trapezoid if short base $b = 11.9\, \text{cm}$, height $h = 3.6\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$.	8
144	Find the long base $ a $ of a trapezoid if height $h = 20\, \text{cm}$ and area $A = 140\, \text{cm}^2$.	8
145	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 $h = 11\, \text{cm}$.	8
146	Find the long base $ a $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 740\, \text{mm}$.	8
147	Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = 477.0327$.	8
148	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
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