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 long base $ a $ of a trapezoid if short base $b = 0.84\, \text{mm}$, angle $\alpha = 77^o$ and angle $\beta = 103^o$. | 5 |
| 502 | 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 |
| 503 | 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 |
| 504 | 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 |
| 505 | 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 |
| 506 | 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 |
| 507 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{in}$ and side $c = 2\, \text{in}$. | 5 |
| 508 | 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 |
| 509 | 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 |
| 510 | 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 |
| 511 | 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 |
| 512 | 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 |
| 513 | 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 |
| 514 | 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 |
| 515 | Find the long base $ a $ of a trapezoid if long base $a = 4800\, \text{mm}$ and side $c = 3000\, \text{mm}$. | 5 |
| 516 | 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 |
| 517 | 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 |
| 518 | 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 |
| 519 | 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 |
| 520 | 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 |
| 521 | 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 |
| 522 | 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 |
| 523 | 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 |
| 524 | 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 |
| 525 | 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 |
| 526 | 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 |
| 527 | 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 |
| 528 | 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 |
| 529 | 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 |
| 530 | 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 |
| 531 | 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 |
| 532 | 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 |
| 533 | 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 |
| 534 | 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 |
| 535 | 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 |
| 536 | 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 |
| 537 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$, side $c = 5.87\, \text{in}$ and height $h = 6\, \text{in}$. | 5 |
| 538 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 5 |
| 539 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 30^o$. | 5 |
| 540 | Find the short base $ b $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 72^o$. | 5 |
| 541 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 50\, \text{mm}$, side $c = 130\, \text{mm}$ and diagonal $d = 140\, \text{mm}$. | 5 |
| 542 | Find the diagonal $ d $ of a trapezoid if long base $a = 1250\, \text{mm}$, short base $b = 800\, \text{mm}$ and side $c = 936\, \text{mm}$. | 5 |
| 543 | Find the long base $ a $ of a trapezoid if side $c = 2.875\, \text{in}$. | 5 |
| 544 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = 4$ and side $c = 13$. | 5 |
| 545 | Find the long base $ a $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 5 |
| 546 | Find the side $ c $ of a trapezoid if long base $a = 18$ and short base $b = 6$. | 5 |
| 547 | 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 |
| 548 | 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 |
| 549 | Find the short base $ b $ of a trapezoid if long base $a = 20$, short base $b = 15$ and height $h = \frac{ 7 }{ 2 }$. | 5 |
| 550 | Find the long base $ a $ of a trapezoid if long base $a = 29$, height $h = 9$ and area $A = \frac{ 387 }{ 2 }$. | 5 |
