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 $a = 3\, \text{ft}$, height $h = 8\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4502 | Find the height $ h $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 4\, \text{mm}$ and area $A = 26\, \text{mm}^2$. | 2 |
| 4503 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 28\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4504 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 28\, \text{in}$, height $h = 12\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4505 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 28\, \text{in}$, height $h = 12\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4506 | Find the side $ c $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 28\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 4507 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{m}$, height $h = 3\, \text{m}$, angle $\alpha = 37^o$ and angle $\beta = 37^o$. | 2 |
| 4508 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{m}$, height $h = 3\, \text{m}$, angle $\alpha = 37^o$ and angle $\beta = 37^o$. | 2 |
| 4509 | Find the short base $ b $ of a trapezoid if height $h = 3\, \text{m}$, angle $\alpha = 37^o$ and angle $\beta = 37^o$. | 2 |
| 4510 | Find the short base $ b $ of a trapezoid if long base $a = 11\, \text{m}$, height $h = 3\, \text{m}$ and angle $\alpha = 37^o$. | 2 |
| 4511 | Find the long base $ a $ of a trapezoid if short base $b = 19.5\, \text{mm}$, height $h = 3.5\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 4512 | Find the long base $ a $ of a trapezoid if short base $b = 19.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 22.5^o$. | 2 |
| 4513 | Find the long base $ a $ of a trapezoid if long base $a = 22.16\, \text{mm}$, short base $b = 19.5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 2 |
| 4514 | Find the long base $ a $ of a trapezoid if long base $a = 22.0625\, \text{mm}$, short base $b = 19.5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 2 |
| 4515 | Find the angle $ \alpha $ of a trapezoid if long base $a = 22.0625\, \text{in}$, short base $b = 19.5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 2 |
| 4516 | Find the long base $ a $ of a trapezoid if short base $b = 46\, \text{yd}$ and median $m = 92\, \text{yd}$. | 2 |
| 4517 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{cm}$ and height $h = 91.44\, \text{cm}$. | 2 |
| 4518 | Find the short base $ b $ of a trapezoid if long base $a = 40\, \text{cm}$, height $h = 91.44\, \text{cm}$ and angle $\alpha = 70^o$. | 2 |
| 4519 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 0.5\, \text{mm}$. | 2 |
| 4520 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{m}$, short base $b = 1\, \text{m}$ and height $h = 0.5\, \text{m}$. | 2 |
| 4521 | Find the long base $ a $ of a trapezoid if long base $a = 0.054\, \text{mm}$ and angle $\beta = 12.5^o$. | 2 |
| 4522 | Find the long base $ a $ of a trapezoid if long base $a = 0.054\, \text{in}$, angle $\alpha = 12^o$ and angle $\beta = 103^o$. | 2 |
| 4523 | Find the short base $ b $ of a trapezoid if long base $a = 0.054\, \text{in}$, angle $\alpha = 12^o$ and angle $\beta = 103^o$. | 2 |
| 4524 | Find the short base $ b $ of a trapezoid if long base $a = 0.504\, \text{in}$, height $h = 0.1545\, \text{in}$ and angle $\alpha = 12.25^o$. | 2 |
| 4525 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 4526 | Find the short base $ b $ of a trapezoid if long base $a = 23\, \text{m}$, height $h = 5\, \text{m}$ and angle $\alpha = 45^o$. | 2 |
| 4527 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{m}$, height $h = 4.3\, \text{m}$ and angle $\alpha = 45^o$. | 2 |
| 4528 | Find the height $ h $ of a trapezoid if long base $a = 137\, \text{in}$, short base $b = 90\, \text{in}$ and diagonal $d = 47\, \text{in}$. | 2 |
| 4529 | Find the height $ h $ of a trapezoid if long base $a = 222\, \text{in}$, short base $b = 144\, \text{in}$ and side $c = 51\, \text{in}$. | 2 |
| 4530 | Find the short base $ b $ of a trapezoid if long base $a = 20\, \text{ft}$, side $c = 0.5\, \text{ft}$ and height $h = 1\, \text{ft}$. | 2 |
| 4531 | Find the short base $ b $ of a trapezoid if long base $a = 1260\, \text{mm}$, side $c = 753\, \text{mm}$, height $h = 700\, \text{mm}$ and angle $\alpha = 22^o$. | 2 |
| 4532 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{mm}$ and side $c = 2\, \text{mm}$. | 2 |
| 4533 | Find the long base $ a $ of a trapezoid if long base $a = 1\, \text{mm}$, short base $b = 1\, \text{mm}$, side $c = 1\, \text{mm}$, diagonal $d = 1\, \text{mm}$, height $h = 1\, \text{mm}$, median $m = 1\, \text{mm}$, area $A = 1\, \text{mm}^2$, perimeter $P = 1\, \text{mm}$, angle $\alpha = 1^o$ and angle $\beta = 1^o$. | 2 |
| 4534 | Find the diagonal $ d $ of a trapezoid if long base $a = 7000\, \text{mm}$, short base $b = 3000\, \text{mm}$ and height $h = 5400\, \text{mm}$. | 2 |
| 4535 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 227 }{ 8 }\, \text{in}$, height $h = 5.5\, \text{in}$ and median $m = \frac{ 221 }{ 2 }\, \text{in}$. | 2 |
| 4536 | Find the short base $ b $ of a trapezoid if long base $a = 22.875\, \text{in}$ and median $m = 22.5\, \text{in}$. | 2 |
| 4537 | Find the side $ c $ of a trapezoid if long base $a = 32.75\, \text{in}$ and short base $b = 20\, \text{in}$. | 2 |
| 4538 | Find the long base $ a $ of a trapezoid if long base $a = 32.25\, \text{mm}$, short base $b = 20\, \text{mm}$ and height $h = 15.75\, \text{mm}$. | 2 |
| 4539 | Find the side $ c $ of a trapezoid if long base $a = 32.25\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
| 4540 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 3\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 4541 | Find the long base $ a $ of a trapezoid if long base $a = 74\, \text{cm}$, short base $b = 56\, \text{cm}$ and side $c = 24\, \text{cm}$. | 2 |
| 4542 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{ft}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 2 |
| 4543 | Find the diagonal $ d $ of a trapezoid if long base $a = 8\, \text{ft}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 2 |
| 4544 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{ft}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 2 |
| 4545 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{ft}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 2 |
| 4546 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{ft}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 2 |
| 4547 | Find the angle $ \alpha $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 4\, \text{in}$ and side $c = 3.89\, \text{in}$. | 2 |
| 4548 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 1.5\, \text{in}$. | 2 |
| 4549 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{mm}$, short base $b = 18\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 4550 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 46\, \text{mm}$. | 2 |
