Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 151 | 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 |
| 152 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 8 |
| 153 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 90^o$. | 8 |
| 154 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{m}$, short base $b = 4.5\, \text{m}$ and diagonal $d = 5\, \text{m}$. | 8 |
| 155 | Find the area $ A $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 30\, \text{mm}$ and perimeter $P = 200\, \text{mm}$. | 8 |
| 156 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{cm}$ and area $A = 140\, \text{cm}^2$. | 8 |
| 157 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{mi}$, short base $b = 2\, \text{cm}$ and side $c = 24\, \text{cm}$. | 8 |
| 158 | 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 |
| 159 | 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 |
| 160 | Find the angle $ \beta $ of a trapezoid if long base $a = 3076\, \text{mm}$, short base $b = 2712\, \text{mm}$ and side $c = 1300\, \text{mm}$. | 8 |
| 161 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{ft}$, side $c = 10\, \text{ft}$, height $h = 8\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 8 |
| 162 | Find the short base $ b $ of a trapezoid if long base $a = 55.75\, \text{in}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 8 |
| 163 | Find the long base $ a $ of a trapezoid if short base $b = 0.5\, \text{in}$, angle $\alpha = 55^o$ and angle $\beta = 145^o$. | 8 |
| 164 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 32.5\, \text{in}$ and side $c = 68.9\, \text{in}$. | 8 |
| 165 | Find the long base $ a $ of a trapezoid if short base $b = 30\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\beta = 45^o$. | 8 |
| 166 | Find the of a trapezoid if long base $a = 1895$, short base $b = 1126$ and height $h = 698$. | 8 |
| 167 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$. | 8 |
| 168 | Find the of a trapezoid if long base $a = \frac{ 111 }{ 4 }$ and short base $b = \frac{ 93 }{ 4 }$. | 8 |
| 169 | Find the height $ h $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 8 |
| 170 | Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 22$. | 8 |
| 171 | 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 |
| 172 | Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = 477.0327$. | 8 |
| 173 | Find the long base $ a $ of a trapezoid if long base $a = 22$ and median $m = 19$. | 8 |
| 174 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 21$, side $c = 40$ and diagonal $d = 39$. | 8 |
| 175 | Find the height $ h $ of a trapezoid if long base $a = 24$, short base $b = 18$ and side $c = 15$. | 8 |
| 176 | Find the side $ c $ of a trapezoid if short base $b = 3$, side $c = 8$ and angle $\alpha = 90^o$. | 8 |
| 177 | Find the side $ c $ of a trapezoid if long base $a = 25$, short base $b = 18$ and height $h = 10$. | 8 |
| 178 | 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 |
| 179 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$. | 7 |
| 180 | Find the diagonal $ d $ of a trapezoid if long base $a = 30$, short base $b = 20$ and height $h = 20$. | 7 |
| 181 | Find the of a trapezoid if long base $a = 1892$, short base $b = 1180$ and height $h = 655$. | 7 |
| 182 | Find the short base $ b $ of a trapezoid if side $c = \frac{ 303 }{ 5 }$, angle $\alpha = 33^o$ and angle $\beta = 167^o$. | 7 |
| 183 | Find the of a trapezoid if long base $a = 2540$, short base $b = 2330$ and height $h = 173$. | 7 |
| 184 | Find the long base $ a $ of a trapezoid if long base $a = 42$, short base $b = 10$, angle $\alpha = 60^o$ and angle $\beta = 106^o$. | 7 |
| 185 | Find the height $ h $ of a trapezoid if long base $a = 5$ and short base $b = 3$. | 7 |
| 186 | Find the diagonal $ d $ of a trapezoid if long base $a = 15$, side $c = 7$ and angle $\alpha = 60^o$. | 7 |
| 187 | Find the area $ A $ of a trapezoid if long base $a = 18$, short base $b = 8$, side $c = 4 \sqrt{ 3 }$ and angle $\alpha = 60^o$. | 7 |
| 188 | Find the area $ A $ of a trapezoid if long base $a = 20$, short base $b = 10$ and side $c = 6$. | 7 |
| 189 | Find the area $ A $ of a trapezoid if long base $a = 24$, short base $b = 14$ and side $c = 9$. | 7 |
| 190 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and diagonal $d = 21$. | 7 |
| 191 | Find the short base $ b $ of a trapezoid if long base $a = 185$ and side $c = 67$. | 7 |
| 192 | Find the long base $ a $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = 543.2579$. | 7 |
| 193 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 61 }{ 4 }$, short base $b = 11$ and height $h = 5$. | 7 |
| 194 | Find the short base $ b $ of a trapezoid if long base $a = 10$, height $h = 6$ and area $A = 42$. | 7 |
| 195 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 10$ and height $h = 3$. | 7 |
| 196 | Find the long base $ a $ of a trapezoid if short base $b = 18$, height $h = 10$ and angle $\beta = 45^o$. | 7 |
| 197 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 3$, side $c = 8$ and angle $\alpha = 90^o$. | 7 |
| 198 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$ and side $c = 4$. | 7 |
| 199 | Find the short base $ b $ of a trapezoid if long base $a = 10$, side $c = 1$ and angle $\alpha = \frac{ 1843 }{ 50 }^o$. | 7 |
| 200 | Find the short base $ b $ of a trapezoid if long base $a = 35$, side $c = \frac{ 63 }{ 2 }$ and height $h = \frac{ 123 }{ 4 }$. | 7 |
