Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4501 | Find the long base $ a $ of a trapezoid if long base $a = 67.5\, \text{in}$, short base $b = 28.5\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 4502 | Find the angle $ \alpha $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 29\, \text{in}$. | 2 |
| 4503 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 29\, \text{in}$. | 2 |
| 4504 | Find the long base $ a $ of a trapezoid if side $c = 11.9\, \text{mm}$ and angle $\beta = 90^o$. | 2 |
| 4505 | Find the long base $ a $ of a trapezoid if long base $a = 104\, \text{mm}$, short base $b = 69\, \text{mm}$, height $h = 432\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 4506 | Find the long base $ a $ of a trapezoid if long base $a = 104\, \text{mm}$, short base $b = 69\, \text{mm}$, height $h = 432\, \text{mm}$ and angle $\beta = 90^o$. | 2 |
| 4507 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 5\, \text{ft}$. | 2 |
| 4508 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{ft}$, side $c = 7.5\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 4509 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, side $c = 7\, \text{ft}$ and height $h = 1\, \text{ft}$. | 2 |
| 4510 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 4\, \text{mm}$. | 2 |
| 4511 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$ and side $c = 6\, \text{ft}$. | 2 |
| 4512 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 15.65\, \text{mm}$, height $h = 15.25\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 4513 | Find the long base $ a $ of a trapezoid if short base $b = 45\, \text{mm}$ and side $c = 16\, \text{mm}$. | 2 |
| 4514 | Find the area $ A $ of a trapezoid if long base $a = 61\, \text{ft}$, short base $b = 40.5\, \text{ft}$ and angle $\alpha = 45^o$. | 2 |
| 4515 | Find the area $ A $ of a trapezoid if long base $a = 61\, \text{ft}$, short base $b = 40.5\, \text{ft}$, side $c = 8\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4516 | Find the long base $ a $ of a trapezoid if long base $a = 140\, \text{cm}$ and side $c = 40\, \text{cm}$. | 2 |
| 4517 | Find the long base $ a $ of a trapezoid if side $c = 6\, \text{in}$, height $h = 70\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 4518 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and angle $\alpha = 78^o$. | 2 |
| 4519 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 6\, \text{mm}$, diagonal $d = 7\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 4520 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$ and side $c = 30\, \text{mm}$. | 2 |
| 4521 | Find the long base $ a $ of a trapezoid if long base $a = 2150\, \text{mm}$, side $c = 1500\, \text{mm}$, height $h = 1500\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 4522 | Find the long base $ a $ of a trapezoid if long base $a = 600\, \text{mm}$, short base $b = 400\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 4523 | Find the area $ A $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 2\, \text{mm}$ and side $c = 6.32\, \text{mm}$. | 2 |
| 4524 | Find the area $ A $ of a trapezoid if long base $a = 33.7\, \text{m}$, short base $b = 26.6\, \text{m}$ and side $c = 18.5\, \text{m}$. | 2 |
| 4525 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 4\, \text{in}$. | 2 |
| 4526 | Find the side $ c $ of a trapezoid if short base $b = 21\, \text{in}$, area $A = 112.5\, \text{in}^2$, angle $\alpha = 35^o$ and angle $\beta = 145^o$. | 2 |
| 4527 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 33\, \text{in}$. | 2 |
| 4528 | Find the long base $ a $ of a trapezoid if long base $a = 42.5\, \text{in}$, side $c = 7\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 4529 | Find the long base $ a $ of a trapezoid if long base $a = 42.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 4530 | Find the long base $ a $ of a trapezoid if short base $b = 1200\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4531 | Find the side $ c $ of a trapezoid if short base $b = 1200\, \text{mm}$, height $h = 1040\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 4532 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{cm}$, side $c = 12\, \text{cm}$ and angle $\alpha = 45^o$. | 2 |
| 4533 | Find the long base $ a $ of a trapezoid if side $c = 4.375\, \text{in}$, angle $\alpha = 23^o$ and angle $\beta = 157^o$. | 2 |
| 4534 | Find the diagonal $ d $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1875\, \text{mm}$ and side $c = 2500\, \text{mm}$. | 2 |
| 4535 | Find the side $ c $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1000\, \text{mm}$, height $h = 20000\, \text{mm}$ and median $m = 1500\, \text{mm}$. | 2 |
| 4536 | Find the side $ c $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1000\, \text{mm}$, height $h = 20000\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 4537 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2000\, \text{mm}$, short base $b = 1000\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 4538 | Find the long base $ a $ of a trapezoid if long base $a = 15.83\, \text{ft}$ and side $c = 8.25\, \text{ft}$. | 2 |
| 4539 | Find the side $ c $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 3.85\, \text{in}$ and angle $\alpha = 72^o$. | 2 |
| 4540 | Find the height $ h $ of a trapezoid if long base $a = 4.5\, \text{in}$, side $c = 1.05\, \text{in}$ and angle $\alpha = 72^o$. | 2 |
| 4541 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 3.85\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 4542 | Find the height $ h $ of a trapezoid if long base $a = 4.5\, \text{mm}$, short base $b = 3.85\, \text{mm}$ and angle $\alpha = 72^o$. | 2 |
| 4543 | Find the short base $ b $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1.1811\, \text{in}$ and angle $\alpha = 72^o$. | 2 |
| 4544 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4.5\, \text{in}$, short base $b = 3.7625\, \text{in}$ and side $c = 1.2\, \text{in}$. | 2 |
| 4545 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 4546 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 30^o$. | 2 |
| 4547 | Find the height $ h $ of a trapezoid if long base $a = 14.5\, \text{mm}$, short base $b = 8.125\, \text{mm}$ and side $c = 8.9375\, \text{mm}$. | 2 |
| 4548 | Find the long base $ a $ of a trapezoid if short base $b = 12.5\, \text{in}$, height $h = 8\, \text{in}$ and angle $\alpha = 35^o$. | 2 |
| 4549 | Find the short base $ b $ of a trapezoid if long base $a = 3.012\, \text{mm}$, angle $\alpha = 52.9^o$ and angle $\beta = 127^o$. | 2 |
| 4550 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
