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 long base $a = 23\, \text{ft}$, short base $b = 15\, \text{cm}$, side $c = 11.31\, \text{cm}$ and angle $\alpha = 45^o$. | 5 |
| 502 | 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 |
| 503 | 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 |
| 504 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{mm}$ and angle $\alpha = 45^o$. | 5 |
| 505 | 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 |
| 506 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$ and height $h = 1\, \text{mm}$. | 5 |
| 507 | 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 |
| 508 | 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 |
| 509 | Find the side $ c $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 17\, \text{in}$ and height $h = 9.5\, \text{in}$. | 5 |
| 510 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{ft}$, height $h = 32\, \text{ft}$ and angle $\beta = 90^o$. | 5 |
| 511 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{ft}$, height $h = 32\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 512 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{mm}$, short base $b = 12\, \text{mm}$ and diagonal $d = 39.41\, \text{mm}$. | 5 |
| 513 | Find the side $ c $ of a trapezoid if short base $b = 12\, \text{ft}$, diagonal $d = 39.41\, \text{ft}$ and height $h = 32\, \text{ft}$. | 5 |
| 514 | Find the short base $ b $ of a trapezoid if long base $a = 23\, \text{ft}$, side $c = 32\, \text{ft}$ and diagonal $d = 39.41\, \text{ft}$. | 5 |
| 515 | Find the short base $ b $ of a trapezoid if long base $a = 23\, \text{ft}$, diagonal $d = 39.41\, \text{ft}$ and height $h = 32\, \text{ft}$. | 5 |
| 516 | Find the long base $ a $ of a trapezoid if long base $a = 85\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 53\, \text{in}$ and height $h = 53\, \text{in}$. | 5 |
| 517 | Find the side $ c $ of a trapezoid if long base $a = 22\, \text{ft}$ and short base $b = 10\, \text{ft}$. | 5 |
| 518 | Find the side $ c $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 10\, \text{ft}$ and height $h = 25\, \text{ft}$. | 5 |
| 519 | Find the side $ c $ of a trapezoid if long base $a = 3.946\, \text{m}$, short base $b = 1\, \text{m}$ and height $h = 1.13\, \text{m}$. | 5 |
| 520 | Find the long base $ a $ of a trapezoid if long base $a = 23.019\, \text{cm}$, height $h = 14.3\, \text{cm}$ and angle $\alpha = 23^o$. | 5 |
| 521 | Find the long base $ a $ of a trapezoid if long base $a = 401.01\, \text{ft}$, side $c = 213.88\, \text{ft}$ and height $h = 213\, \text{ft}$. | 5 |
| 522 | Find the long base $ a $ of a trapezoid if long base $a = 31.2\, \text{ft}$, short base $b = 31.2\, \text{ft}$ and side $c = 51.4\, \text{ft}$. | 5 |
| 523 | Find the long base $ a $ of a trapezoid if long base $a = 12.9\, \text{mm}$, height $h = 50\, \text{mm}$ and area $A = 479.25\, \text{mm}^2$. | 5 |
| 524 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 479.25\, \text{ft}^2$. | 5 |
| 525 | Find the long base $ a $ of a trapezoid if long base $a = 12.9\, \text{ft}$ and height $h = 50\, \text{ft}$. | 5 |
| 526 | Find the area $ A $ of a trapezoid if long base $a = 12.9\, \text{ft}$, short base $b = 31.6\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 237.5\, \text{ft}^2$. | 5 |
| 527 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 237.5\, \text{ft}^2$. | 5 |
| 528 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 60\, \text{ft}$ and area $A = 237.5\, \text{ft}^2$. | 5 |
| 529 | Find the short base $ b $ of a trapezoid if long base $a = 129\, \text{ft}$, height $h = 60\, \text{ft}$ and area $A = 585\, \text{ft}^2$. | 5 |
| 530 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 60\, \text{ft}$ and area $A = 585\, \text{ft}^2$. | 5 |
| 531 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 520\, \text{ft}^2$. | 5 |
| 532 | Find the height $ h $ of a trapezoid if long base $a = 127\, \text{in}$, short base $b = 55\, \text{in}$ and side $c = 51\, \text{in}$. | 5 |
| 533 | Find the short base $ b $ of a trapezoid if long base $a = 61.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 534 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 535 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 536 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 537 | Find the angle $ \beta $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 538 | Find the short base $ b $ of a trapezoid if long base $a = 48\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 83.6107^o$. | 5 |
| 539 | Find the short base $ b $ of a trapezoid if long base $a = 48\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 5 |
| 540 | Find the short base $ b $ of a trapezoid if long base $a = 40.26\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 5 |
| 541 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 542 | Find the side $ c $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 543 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 85^o$. | 5 |
| 544 | Find the long base $ a $ of a trapezoid if side $c = 16\, \text{in}$, angle $\alpha = 95^o$ and angle $\beta = 85^o$. | 5 |
| 545 | Find the short base $ b $ of a trapezoid if side $c = 16.0611\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 546 | Find the long base $ a $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 547 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 548 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, side $c = 3\, \text{mm}$, diagonal $d = 4.24\, \text{mm}$, height $h = 3\, \text{mm}$ and angle $\alpha = 90^o$. | 5 |
| 549 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{m}$, height $h = 3\, \text{m}$ and angle $\alpha = 90^o$. | 5 |
| 550 | Find the short base $ b $ of a trapezoid if long base $a = 3\, \text{m}$, diagonal $d = 4.24\, \text{m}$, height $h = 3\, \text{m}$ and angle $\alpha = 90^o$. | 5 |
