Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 501 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 5.5\, \text{in}$ and side $c = 5.5\, \text{in}$. | 5 |
| 502 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, height $h = 6\, \text{in}$ and angle $\beta = 120^o$. | 5 |
| 503 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, side $c = 12\, \text{in}$, height $h = 6\, \text{in}$ and angle $\beta = 120^o$. | 5 |
| 504 | Find the long base $ a $ of a trapezoid if short base $b = 39\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 112^o$. | 5 |
| 505 | Find the long base $ a $ of a trapezoid if long base $a = 16.9\, \text{cm}$, height $h = 18.4\, \text{cm}$ and area $A = 256.68\, \text{cm}^2$. | 5 |
| 506 | Find the long base $ a $ of a trapezoid if long base $a = 11.7\, \text{yd}$, short base $b = 4.1\, \text{yd}$ and height $h = 5.2\, \text{yd}$. | 5 |
| 507 | Find the perimeter $ P $ of a trapezoid if long base $a = 11.7\, \text{yd}$, short base $b = 4.1\, \text{yd}$ and height $h = 5.2\, \text{yd}$. | 5 |
| 508 | Find the angle $ \beta $ of a trapezoid if long base $a = 1855\, \text{mm}$, side $c = 860\, \text{mm}$ and angle $\alpha = 90^o$. | 5 |
| 509 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{in}$ and height $h = 12\, \text{in}$. | 5 |
| 510 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{in}$, diagonal $d = 24\, \text{in}$ and height $h = 12\, \text{in}$. | 5 |
| 511 | Find the long base $ a $ of a trapezoid if long base $a = 72.625\, \text{mm}$, short base $b = 38.5\, \text{mm}$ and height $h = 45\, \text{mm}$. | 5 |
| 512 | Find the side $ c $ of a trapezoid if long base $a = 72.625\, \text{mm}$, short base $b = 38.5\, \text{mm}$ and height $h = 45\, \text{mm}$. | 5 |
| 513 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, height $h = 6\, \text{cm}$ and area $A = 81\, \text{cm}^2$. | 5 |
| 514 | Find the side $ c $ of a trapezoid if long base $a = 246\, \text{cm}$, short base $b = 149\, \text{cm}$ and height $h = 51.5\, \text{cm}$. | 5 |
| 515 | Find the height $ h $ of a trapezoid if long base $a = 200.68\, \text{mm}$, short base $b = 211.98\, \text{mm}$ and side $c = 30\, \text{mm}$. | 5 |
| 516 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$ and side $c = 2\, \text{in}$. | 5 |
| 517 | Find the long base $ a $ of a trapezoid if long base $a = 2160\, \text{mm}$, side $c = 1000\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 518 | Find the side $ c $ of a trapezoid if long base $a = 12.5\, \text{mm}$, height $h = 6\, \text{mm}$ and angle $\beta = 97^o$. | 5 |
| 519 | Find the long base $ a $ of a trapezoid if long base $a = 4.4\, \text{mm}$, short base $b = 8\, \text{mm}$, height $h = 2.8\, \text{mm}$ and area $A = 136\, \text{mm}^2$. | 5 |
| 520 | Find the diagonal $ d $ of a trapezoid if long base $a = 15\, \text{cm}$, short base $b = 8\, \text{cm}$ and side $c = 9\, \text{cm}$. | 5 |
| 521 | Find the long base $ a $ of a trapezoid if long base $a = 24.5\, \text{ft}$, short base $b = 32.5\, \text{ft}$ and side $c = 20\, \text{ft}$. | 5 |
| 522 | Find the side $ c $ of a trapezoid if long base $a = 39\, \text{mm}$, short base $b = 30\, \text{mm}$ and height $h = 909\, \text{mm}$. | 5 |
| 523 | Find the long base $ a $ of a trapezoid if long base $a = 50000\, \text{mm}$, short base $b = 55872\, \text{mm}$ and side $c = 42223\, \text{mm}$. | 5 |
| 524 | Find the short base $ b $ of a trapezoid if long base $a = 10.25\, \text{in}$, side $c = 7\, \text{in}$ and area $A = 36\, \text{in}^2$. | 5 |
| 525 | Find the angle $ \beta $ of a trapezoid if long base $a = 74\, \text{cm}$, short base $b = 56\, \text{cm}$ and side $c = 24\, \text{cm}$. | 5 |
| 526 | Find the short base $ b $ of a trapezoid if long base $a = 5.75\, \text{in}$, height $h = \frac{ 5 }{ 8 }\, \text{in}$ and angle $\alpha = 70.5^o$. | 5 |
| 527 | Find the long base $ a $ of a trapezoid if long base $a = 103.5\, \text{in}$, short base $b = 56.5\, \text{in}$ and height $h = 24\, \text{in}$. | 5 |
| 528 | Find the side $ c $ of a trapezoid if long base $a = 103.5\, \text{in}$, short base $b = 56.5\, \text{in}$ and height $h = 24\, \text{in}$. | 5 |
| 529 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 9\, \text{in}$, side $c = 30\, \text{in}$ and height $h = 33\, \text{in}$. | 5 |
| 530 | Find the long base $ a $ of a trapezoid if side $c = 30\, \text{in}$, height $h = 33\, \text{in}$ and angle $\alpha = 18.8^o$. | 5 |
| 531 | Find the long base $ a $ of a trapezoid if long base $a = 4800\, \text{mm}$ and side $c = 3000\, \text{mm}$. | 5 |
| 532 | Find the perimeter $ P $ of a trapezoid if long base $a = 54.67\, \text{mm}$, short base $b = 41\, \text{mm}$ and height $h = 3\, \text{mm}$. | 5 |
| 533 | Find the perimeter $ P $ of a trapezoid if long base $a = 54.67\, \text{mm}$, short base $b = 41\, \text{mm}$ and height $h = 6\, \text{mm}$. | 5 |
| 534 | Find the diagonal $ d $ of a trapezoid if long base $a = 6\, \text{mm}$, side $c = 1\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 150^o$. | 5 |
| 535 | Find the side $ c $ of a trapezoid if long base $a = 450\, \text{mm}$, short base $b = 300\, \text{mm}$ and height $h = 300\, \text{mm}$. | 5 |
| 536 | Find the long base $ a $ of a trapezoid if long base $a = 99\, \text{cm}$, side $c = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 5 |
| 537 | Find the angle $ \beta $ of a trapezoid if long base $a = 99\, \text{mm}$, short base $b = 44\, \text{cm}$ and height $h = 59\, \text{cm}$. | 5 |
| 538 | Find the short base $ b $ of a trapezoid if long base $a = 10.5\, \text{mm}$, height $h = 2.2\, \text{mm}$ and angle $\alpha = 55^o$. | 5 |
| 539 | Find the long base $ a $ of a trapezoid if short base $b = 11.3125\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 540 | Find the height $ h $ of a trapezoid if long base $a = 40\, \text{mm}$, short base $b = 25\, \text{mm}$ and area $A = 1800\, \text{mm}^2$. | 5 |
| 541 | Find the angle $ \alpha $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 140\, \text{mm}$. | 5 |
| 542 | Find the angle $ \beta $ of a trapezoid if long base $a = 140\, \text{mm}$, short base $b = 70\, \text{mm}$ and height $h = 140\, \text{mm}$. | 5 |
| 543 | Find the long base $ a $ of a trapezoid if long base $a = 10176\, \text{mm}$, short base $b = 4950\, \text{mm}$ and height $h = 2626\, \text{mm}$. | 5 |
| 544 | Find the long base $ a $ of a trapezoid if long base $a = 29.94\, \text{mm}$, short base $b = 27.48\, \text{mm}$ and height $h = 19.62\, \text{mm}$. | 5 |
| 545 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 13\, \text{mm}$ and height $h = 17\, \text{mm}$. | 5 |
| 546 | Find the perimeter $ P $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$ and height $h = 60\, \text{mm}$. | 5 |
| 547 | Find the median $ m $ of a trapezoid if long base $a = 152\, \text{mm}$, short base $b = 116\, \text{mm}$ and height $h = 60\, \text{mm}$. | 5 |
| 548 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 3.5\, \text{mm}$ and angle $\alpha = 60^o$. | 5 |
| 549 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{in}$, short base $b = 12.7\, \text{in}$ and side $c = 5.3\, \text{in}$. | 5 |
| 550 | Find the short base $ b $ of a trapezoid if long base $a = 900\, \text{mm}$, height $h = 750\, \text{mm}$ and angle $\alpha = 45^o$. | 5 |
