Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 351 | Find the area $ A $ of a trapezoid if long base $a = 34.5\, \text{mm}$, short base $b = 3.25\, \text{mm}$, side $c = 44.6\, \text{mm}$, diagonal $d = 33\, \text{mm}$ and height $h = 44.6\, \text{mm}$. | 5 |
| 352 | Find the long base $ a $ of a trapezoid if long base $a = 150\, \text{mm}$, short base $b = 90\, \text{mm}$, side $c = 96\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 102.95^o$. | 5 |
| 353 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 7.2\, \text{mm}$, side $c = 13\, \text{mm}$ and diagonal $d = 18\, \text{mm}$. | 5 |
| 354 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, height $h = 3.5\, \text{mm}$ and angle $\alpha = 75^o$. | 5 |
| 355 | Find the angle $ \alpha $ of a trapezoid if long base $a = 33.24\, \text{mm}$, short base $b = 32.2\, \text{mm}$ and height $h = 21\, \text{mm}$. | 5 |
| 356 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 45^o$. | 5 |
| 357 | Find the long base $ a $ of a trapezoid if long base $a = 79\, \text{in}$, side $c = 36\, \text{in}$ and height $h = 25\, \text{in}$. | 5 |
| 358 | Find the height $ h $ of a trapezoid if long base $a = 63\, \text{in}$, short base $b = 25\, \text{in}$ and side $c = 25\, \text{in}$. | 5 |
| 359 | Find the long base $ a $ of a trapezoid if short base $b = 0.5\, \text{in}$, side $c = 1.25\, \text{in}$, angle $\alpha = 55^o$ and angle $\beta = 145^o$. | 5 |
| 360 | Find the long base $ a $ of a trapezoid if short base $b = 0.5\, \text{in}$, angle $\alpha = 35^o$ and angle $\beta = 145^o$. | 5 |
| 361 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{cm}$, short base $b = 60\, \text{cm}$ and height $h = 24\, \text{cm}$. | 5 |
| 362 | Find the short base $ b $ of a trapezoid if height $h = 25.5\, \text{in}$, median $m = 55.75\, \text{in}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 5 |
| 363 | Find the long base $ a $ of a trapezoid if side $c = 25.5\, \text{in}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 5 |
| 364 | Find the long base $ a $ of a trapezoid if short base $b = 200\, \text{mm}$, diagonal $d = 206\, \text{mm}$ and height $h = 50\, \text{mm}$. | 5 |
| 365 | Find the short base $ b $ of a trapezoid if long base $a = 185\, \text{cm}$, side $c = 75\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 366 | Find the long base $ a $ of a trapezoid if long base $a = 32.75\, \text{in}$, short base $b = 16.25\, \text{in}$ and side $c = 17.75\, \text{in}$. | 5 |
| 367 | Find the angle $ \beta $ of a trapezoid if long base $a = 70\, \text{cm}$, short base $b = 64\, \text{cm}$ and side $c = 70\, \text{mm}$. | 5 |
| 368 | Find the angle $ \alpha $ of a trapezoid if long base $a = 84.5\, \text{in}$, short base $b = 29.25\, \text{in}$, side $c = 73.75\, \text{in}$ and angle $\beta = 90^o$. | 5 |
| 369 | Find the angle $ \beta $ of a trapezoid if long base $a = 50.8\, \text{mm}$, short base $b = 38.1\, \text{mm}$, side $c = 31.75\, \text{mm}$ and angle $\alpha = 78.463^o$. | 5 |
| 370 | 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 $\beta = 135^o$. | 5 |
| 371 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 16\, \text{mm}$ and height $h = 16\, \text{mm}$. | 5 |
| 372 | Find the perimeter $ P $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 16\, \text{mm}$ and height $h = 16\, \text{mm}$. | 5 |
| 373 | Find the height $ h $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 28\, \text{mm}$ and median $m = 80\, \text{mm}$. | 5 |
| 374 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = 4$ and side $c = 13$. | 5 |
| 375 | Find the long base $ a $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 5 |
| 376 | Find the side $ c $ of a trapezoid if long base $a = 18$ and short base $b = 6$. | 5 |
| 377 | Find the long base $ a $ of a trapezoid if long base $a = 30$, side $c = 10$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 5 |
| 378 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 19 }{ 16 }$, short base $b = \frac{ 7 }{ 8 }$ and height $h = \frac{ 9 }{ 2 }$. | 5 |
| 379 | Find the short base $ b $ of a trapezoid if long base $a = 20$, short base $b = 15$ and height $h = \frac{ 7 }{ 2 }$. | 5 |
| 380 | Find the long base $ a $ of a trapezoid if long base $a = 29$, height $h = 9$ and area $A = \frac{ 387 }{ 2 }$. | 5 |
| 381 | Find the height $ h $ of a trapezoid if long base $a = 48$, short base $b = 22$ and area $A = 218$. | 5 |
| 382 | Find the of a trapezoid if angle $\beta = 122^o$. | 5 |
| 383 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 5$ and height $h = 40$. | 5 |
| 384 | Find the short base $ b $ of a trapezoid if long base $a = 4$, height $h = \frac{ 143 }{ 10 }$ and area $A = \frac{ 3289 }{ 25 }$. | 5 |
| 385 | Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$. | 5 |
| 386 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1491 }{ 16 }$, short base $b = \frac{ 323 }{ 4 }$ and angle $\alpha = 30^o$. | 5 |
| 387 | Find the of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = 3$ and height $h = 10$. | 5 |
| 388 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 12^o$. | 5 |
| 389 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$. | 5 |
| 390 | Find the long base $ a $ of a trapezoid if short base $b = 20$ and side $c = 40$. | 5 |
| 391 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 6$ and height $h = 4$. | 5 |
| 392 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 31 }{ 8 }$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 5 |
| 393 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\alpha = 75^o$. | 5 |
| 394 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 9$. | 5 |
| 395 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = \frac{ 24 }{ 5 }$. | 5 |
| 396 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 3 }{ 2 }$ and side $c = \frac{ 63 }{ 20 }$. | 5 |
| 397 | Find the of a trapezoid if long base $a = 200$, short base $b = 145$ and height $h = 111$. | 5 |
| 398 | Find the long base $ a $ of a trapezoid if short base $b = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$. | 5 |
| 399 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 400 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1 }{ 25 }$, short base $b = \frac{ 27 }{ 1000 }$ and height $h = \frac{ 247 }{ 1000 }$. | 5 |
