Trapezoid – Solved Problems Database
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 201 | Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 9 }{ 4 }$ and side $c = 24$. | 4 |
| 202 | Find the long base $ a $ of a trapezoid if long base $a = 164$, short base $b = \frac{ 782 }{ 5 }$, side $c = 54$ and height $h = 54$. | 4 |
| 203 | Find the of a trapezoid if long base $a = \frac{ 33 }{ 4 }$, short base $b = \frac{ 33 }{ 8 }$ and side $c = 3$. | 4 |
| 204 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and angle $\alpha = \frac{ 8507 }{ 100 }^o$. | 4 |
| 205 | Find the height $ h $ of a trapezoid if long base $a = 10$, short base $b = 5$ and side $c = 6$. | 4 |
| 206 | Find the long base $ a $ of a trapezoid if short base $b = 29$ and area $A = \frac{ 387 }{ 2 }$. | 4 |
| 207 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 23019 }{ 1000 }$, height $h = \frac{ 143 }{ 10 }$ and angle $\alpha = 67^o$. | 4 |
| 208 | Find the area $ A $ of a trapezoid if long base $a = 36$, side $c = 18$, median $m = 9$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 209 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 22129 }{ 500 }$, height $h = 25$ and angle $\beta = \frac{ 376853 }{ 5000 }^o$. | 4 |
| 210 | Find the long base $ a $ of a trapezoid if long base $a = 5$, short base $b = 6$ and area $A = 121$. | 4 |
| 211 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 17 }{ 5 }$, side $c = 6$ and perimeter $P = \frac{ 137 }{ 5 }$. | 4 |
| 212 | Find the long base $ a $ of a trapezoid if short base $b = 3$, height $h = 40$ and area $A = 260$. | 4 |
| 213 | Find the long base $ a $ of a trapezoid if long base $a = 10$, height $h = 6$ and area $A = 42$. | 4 |
| 214 | Find the long base $ a $ of a trapezoid if short base $b = 40$, height $h = 10$ and angle $\alpha = 30^o$. | 4 |
| 215 | Find the height $ h $ of a trapezoid if long base $a = 96$ and angle $\alpha = 70^o$. | 4 |
| 216 | Find the long base $ a $ of a trapezoid if long base $a = 1$, short base $b = \frac{ 1 }{ 2 }$ and height $h = 4$. | 4 |
| 217 | Find the short base $ b $ of a trapezoid if long base $a = 96$, side $c = 63$, height $h = 60$ and angle $\alpha = 70^o$. | 4 |
| 218 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 39 }{ 250 }$, short base $b = \frac{ 7 }{ 100 }$ and height $h = \frac{ 99 }{ 500 }$. | 4 |
| 219 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 69 }{ 4 }$, side $c = \frac{ 33 }{ 2 }$ and height $h = \frac{ 33 }{ 2 }$. | 4 |
| 220 | Find the of a trapezoid if long base $a = 19$, short base $b = \frac{ 65 }{ 4 }$ and side $c = \frac{ 439 }{ 25 }$. | 4 |
| 221 | Find the height $ h $ of a trapezoid if long base $a = 60$, short base $b = 36$ and side $c = 45$. | 4 |
| 222 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 39 }{ 5 }$, short base $b = \frac{ 16 }{ 5 }$ and side $c = \frac{ 42 }{ 5 }$. | 4 |
| 223 | Find the long base $ a $ of a trapezoid if long base $a = 18$, short base $b = 12$, side $c = 1314$ and height $h = 11$. | 4 |
| 224 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 33 }{ 5 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 4$. | 4 |
| 225 | Find the long base $ a $ of a trapezoid if side $c = \frac{ 9 }{ 2 }$, height $h = 6$ and area $A = \frac{ 69 }{ 2 }$. | 4 |
| 226 | Find the area $ A $ of a trapezoid if short base $b = 6$, side $c = 15$ and height $h = 12$. | 4 |
| 227 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 33 }{ 5 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = \frac{ 53 }{ 10 }$. | 4 |
| 228 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 18267 }{ 10000 }$, short base $b = \frac{ 9133 }{ 10000 }$ and side $c = \frac{ 9133 }{ 10000 }$. | 4 |
| 229 | Find the short base $ b $ of a trapezoid if long base $a = 480$, height $h = 110$ and angle $\alpha = 120^o$. | 4 |
| 230 | Find the long base $ a $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 4 |
| 231 | Find the short base $ b $ of a trapezoid if long base $a = 440$, height $h = 110$ and angle $\beta = 120^o$. | 4 |
| 232 | Find the height $ h $ of a trapezoid if long base $a = 5$, short base $b = 1$ and angle $\beta = 45^o$. | 4 |
| 233 | Find the long base $ a $ of a trapezoid if long base $a = 28$, side $c = \frac{ 711 }{ 25 }$ and height $h = 28$. | 4 |
| 234 | Find the area $ A $ of a trapezoid if long base $a = 4$, short base $b = 2$ and side $c = 2$. | 4 |
| 235 | Find the area $ A $ of a trapezoid if short base $b = 18$, height $h = 9$ and angle $\alpha = 45^o$. | 4 |
| 236 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1 }{ 3 }$, height $h = \frac{ 1 }{ 2 }$ and area $A = 300$. | 4 |
| 237 | Find the area $ A $ of a trapezoid if long base $a = 26$, short base $b = 16$ and side $c = 13$. | 4 |
| 238 | Find the of a trapezoid if long base $a = 12$, short base $b = \frac{ 83 }{ 10 }$ and height $h = 7$. | 4 |
| 239 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 622 }{ 5 }$, short base $b = \frac{ 2423 }{ 25 }$, side $c = \frac{ 2624 }{ 25 }$, angle $\alpha = 85^o$ and angle $\beta = 96^o$. | 4 |
| 240 | Find the of a trapezoid if long base $a = \frac{ 2 }{ 5 }$, short base $b = \frac{ 7 }{ 25 }$ and height $h = \frac{ 6 }{ 5 }$. | 4 |
| 241 | Find the long base $ a $ of a trapezoid if diagonal $d = 25$. | 4 |
| 242 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 2 }$ and diagonal $d = \frac{ 117 }{ 10 }$. | 4 |
| 243 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 5107 }{ 100 }$, height $h = \frac{ 9591 }{ 50 }$ and angle $\alpha = \frac{ 2227 }{ 25 }^o$. | 4 |
| 244 | Find the area $ A $ of a trapezoid if short base $b = 1$, side $c = \frac{ 7 }{ 5 }$ and area $A = \frac{ 12 }{ 5 }$. | 4 |
| 245 | Find the long base $ a $ of a trapezoid if short base $b = 300$, side $c = 300$ and diagonal $d = 505$. | 4 |
| 246 | Find the long base $ a $ of a trapezoid if short base $b = 77$, side $c = \frac{ 119 }{ 16 }$ and height $h = \frac{ 21 }{ 4 }$. | 4 |
| 247 | Find the side $ c $ of a trapezoid if long base $a = 18$, short base $b = 12$ and height $h = 12$. | 4 |
| 248 | Find the short base $ b $ of a trapezoid if long base $a = 12$, height $h = 4$ and area $A = 36$. | 4 |
| 249 | Find the height $ h $ of a trapezoid if long base $a = 1000$, area $A = 327125$ and angle $\alpha = 74^o$. | 4 |
| 250 | Find the height $ h $ of a trapezoid if long base $a = 1000$, area $A = 327125$, angle $\alpha = 74^o$ and angle $\beta = 106^o$. | 4 |
