Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 401 | 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 |
| 402 | Find the area $ A $ of a trapezoid if long base $a = 2.87\, \text{mm}$, short base $b = 1.57\, \text{mm}$ and side $c = 4.542\, \text{mm}$. | 5 |
| 403 | Find the long base $ a $ of a trapezoid if short base $b = 0.84\, \text{mm}$, angle $\alpha = 77^o$ and angle $\beta = 103^o$. | 5 |
| 404 | 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 |
| 405 | 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 |
| 406 | 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 |
| 407 | 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 |
| 408 | Find the height $ h $ of a trapezoid if long base $a = 7.6\, \text{mm}$, short base $b = 19\, \text{mm}$ and area $A = 202.16\, \text{mm}^2$. | 5 |
| 409 | Find the short base $ b $ of a trapezoid if long base $a = 0.5\, \text{in}$, side $c = 0.3\, \text{in}$ and angle $\beta = 45^o$. | 5 |
| 410 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 22.5\, \text{ft}$. | 5 |
| 411 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 30\, \text{in}$. | 5 |
| 412 | Find the height $ h $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 13\, \text{mm}$. | 5 |
| 413 | Find the side $ c $ of a trapezoid if long base $a = 10.5\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 15.5\, \text{in}$. | 5 |
| 414 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 3.5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 5 |
| 415 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 3.5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 5 |
| 416 | Find the long base $ a $ of a trapezoid if short base $b = 1.25\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 5 |
| 417 | Find the height $ h $ of a trapezoid if ???. | 5 |
| 418 | Find the side $ c $ of a trapezoid if long base $a = 300\, \text{cm}$, short base $b = 240\, \text{mm}$ and height $h = 240\, \text{mm}$. | 5 |
| 419 | Find the short base $ b $ of a trapezoid if long base $a = 1775\, \text{mm}$, height $h = 489\, \text{mm}$ and angle $\alpha = 16.5^o$. | 5 |
| 420 | Find the long base $ a $ of a trapezoid if height $h = 0.25\, \text{in}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 5 |
| 421 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 8.66\, \text{mm}$ and side $c = 5\, \text{mm}$. | 5 |
| 422 | Find the area $ A $ of a trapezoid if long base $a = 183\, \text{m}$, short base $b = 163\, \text{m}$, side $c = 93\, \text{m}$, diagonal $d = 63\, \text{m}$ and height $h = 1\, \text{mm}$. | 5 |
| 423 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 46 }{ 5 }$, short base $b = \frac{ 12 }{ 5 }$ and height $h = \frac{ 41 }{ 10 }$. | 5 |
| 424 | Find the short base $ b $ of a trapezoid if side $c = 17$, height $h = 16$ and area $A = 180$. | 5 |
| 425 | Find the diagonal $ d $ of a trapezoid if long base $a = 21.8125\, \text{in}$, short base $b = 19.375\, \text{in}$ and height $h = 13\, \text{in}$. | 5 |
| 426 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 18\, \text{mm}$. | 5 |
| 427 | Find the short base $ b $ of a trapezoid if long base $a = 1.05\, \text{m}$, side $c = 0.9\, \text{mm}$ and height $h = 0.9\, \text{mm}$. | 5 |
| 428 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{cm}$, short base $b = 7\, \text{cm}$, side $c = 4\, \text{cm}$ and diagonal $d = 5\, \text{cm}$. | 5 |
| 429 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 14\, \text{ft}$ and side $c = 8\, \text{ft}$. | 5 |
| 430 | Find the long base $ a $ of a trapezoid if long base $a = 34.44\, \text{ft}$, short base $b = 40\, \text{ft}$, side $c = 24.27\, \text{ft}$ and angle $\alpha = 103^o$. | 5 |
| 431 | Find the long base $ a $ of a trapezoid if long base $a = 34.44\, \text{ft}$, short base $b = 40\, \text{ft}$ and angle $\alpha = 103^o$. | 5 |
| 432 | Find the long base $ a $ of a trapezoid if long base $a = 34.44\, \text{ft}$, short base $b = 40\, \text{ft}$ and side $c = 24.27\, \text{ft}$. | 5 |
| 433 | 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 $A = 39\, \text{in}^2$ and angle $\beta = 155^o$. | 5 |
| 434 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 435 | Find the long base $ a $ of a trapezoid if long base $a = 0.34\, \text{mm}$, short base $b = 1.19\, \text{mm}$ and area $A = 0.36\, \text{mm}^2$. | 5 |
| 436 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 65^o$. | 5 |
| 437 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{ft}$, short base $b = 15\, \text{cm}$, side $c = 11.31\, \text{cm}$ and angle $\alpha = 45^o$. | 5 |
| 438 | Find the angle $ \alpha $ of a trapezoid if long base $a = 78\, \text{in}$, short base $b = 72\, \text{in}$ and side $c = 21\, \text{in}$. | 5 |
| 439 | Find the long base $ a $ of a trapezoid if long base $a = 81\, \text{in}$, side $c = 33\, \text{in}$ and angle $\alpha = 5^o$. | 5 |
| 440 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{mm}$ and angle $\alpha = 45^o$. | 5 |
| 441 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11\, \text{ft}$, side $c = 5.5\, \text{ft}$ and angle $\beta = 120^o$. | 5 |
| 442 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$ and height $h = 1\, \text{mm}$. | 5 |
| 443 | Find the side $ c $ of a trapezoid if short base $b = 17.09\, \text{mm}$, height $h = 22\, \text{mm}$ and angle $\beta = 136.34^o$. | 5 |
| 444 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 740\, \text{mm}$. | 5 |
| 445 | Find the long base $ a $ of a trapezoid if side $c = 9\, \text{ft}$, height $h = 8\, \text{ft}$ and median $m = 9\, \text{mm}$. | 5 |
| 446 | Find the short base $ b $ of a trapezoid if long base $a = 55\, \text{mm}$, side $c = 44\, \text{mm}$, height $h = 44\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 447 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 45^o$. | 5 |
| 448 | Find the side $ c $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 30\, \text{in}$ and height $h = 96\, \text{in}$. | 5 |
| 449 | Find the side $ c $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 32\, \text{in}$ and height $h = 96\, \text{in}$. | 5 |
| 450 | Find the short base $ b $ of a trapezoid if long base $a = 86\, \text{mm}$, angle $\alpha = 46.302^o$ and angle $\beta = 133.698^o$. | 5 |
