Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 401 | Find the long base $ a $ of a trapezoid if short base $b = 2.5\, \text{ft}$, side $c = 2.5\, \text{ft}$ and height $h = 1\, \text{ft}$. | 5 |
| 402 | Find the height $ h $ of a trapezoid if long base $a = 4\, \text{ft}$, short base $b = 2.5\, \text{ft}$ and side $c = 2.5\, \text{ft}$. | 5 |
| 403 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and median $m = 6\, \text{mm}$. | 5 |
| 404 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$, median $m = 6\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 405 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 406 | Find the long base $ a $ of a trapezoid if short base $b = 26\, \text{in}$, height $h = 6\, \text{in}$ and angle $\beta = 150^o$. | 5 |
| 407 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and area $A = 3\, \text{m}^2$. | 5 |
| 408 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, height $h = 2.5\, \text{m}$ and angle $\alpha = 78.232^o$. | 5 |
| 409 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 22\, \text{m}$, height $h = 2.5\, \text{m}$ and angle $\alpha = 78.232^o$. | 5 |
| 410 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 22\, \text{m}$, height $h = 2.5\, \text{m}$ and angle $\alpha = 78.232^o$. | 5 |
| 411 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{in}$, short base $b = 13\, \text{in}$ and side $c = 24\, \text{in}$. | 5 |
| 412 | Find the long base $ a $ of a trapezoid if short base $b = 9\, \text{ft}$, angle $\alpha = 34^o$ and angle $\beta = 146^o$. | 5 |
| 413 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{ft}$, height $h = 12\, \text{ft}$ and angle $\alpha = 45^o$. | 5 |
| 414 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 45^o$. | 5 |
| 415 | Find the long base $ a $ of a trapezoid if short base $b = 58\, \text{in}$, height $h = 18\, \text{in}$ and angle $\beta = 25.7^o$. | 5 |
| 416 | Find the long base $ a $ of a trapezoid if long base $a = 21\, \text{mm}$, short base $b = 13\, \text{cm}$ and side $c = 15\, \text{cm}$. | 5 |
| 417 | Find the angle $ \alpha $ of a trapezoid if long base $a = 17.25\, \text{in}$, short base $b = 16.875\, \text{in}$ and side $c = 11\, \text{in}$. | 5 |
| 418 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 45^o$. | 5 |
| 419 | 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 |
| 420 | 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 |
| 421 | 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 |
| 422 | 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 |
| 423 | 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 |
| 424 | 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 |
| 425 | 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 |
| 426 | 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 |
| 427 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{in}$ and height $h = 12\, \text{in}$. | 5 |
| 428 | 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 |
| 429 | 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 |
| 430 | 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 |
| 431 | 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 |
| 432 | 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 |
| 433 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{mm}$. | 5 |
| 434 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{ft}$, short base $b = 17\, \text{ft}$ and height $h = 17\, \text{ft}$. | 5 |
| 435 | Find the side $ c $ of a trapezoid if long base $a = 35.5\, \text{mm}$, short base $b = 21.5\, \text{mm}$ and height $h = 14\, \text{mm}$. | 5 |
| 436 | Find the side $ c $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 21\, \text{mm}$ and height $h = 13.5\, \text{mm}$. | 5 |
| 437 | Find the long base $ a $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 15.25\, \text{mm}$. | 5 |
| 438 | Find the height $ h $ of a trapezoid if long base $a = 94\, \text{in}$, short base $b = 52\, \text{in}$ and side $c = 36.5\, \text{in}$. | 5 |
| 439 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$ and diagonal $d = \sqrt{ 75 }\, \text{mm}$. | 5 |
| 440 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46.25\, \text{in}$ and short base $b = 25.5\, \text{in}$. | 5 |
| 441 | Find the long base $ a $ of a trapezoid if long base $a = 46.25\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 10.25\, \text{in}$. | 5 |
| 442 | Find the side $ c $ of a trapezoid if long base $a = 46.25\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 10.25\, \text{in}$. | 5 |
| 443 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46.25\, \text{in}$, short base $b = 25.5\, \text{in}$ and height $h = 10.25\, \text{in}$. | 5 |
| 444 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 36\, \text{mm}$ and side $c = 60\, \text{mm}$. | 5 |
| 445 | Find the long base $ a $ of a trapezoid if long base $a = 4.5\, \text{in}$, side $c = 8.5\, \text{in}$ and height $h = 9.5\, \text{in}$. | 5 |
| 446 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 5\, \text{mm}$. | 5 |
| 447 | Find the short base $ b $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 3\, \text{in}$ and area $A = 26.5\, \text{in}^2$. | 5 |
| 448 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{mm}$, side $c = 18\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 100^o$. | 5 |
| 449 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 2\, \text{mm}$, angle $\alpha = 50^o$ and angle $\beta = 130^o$. | 5 |
| 450 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mi}$, short base $b = 16.25\, \text{cm}$, side $c = 17.56\, \text{cm}$ and height $h = 17.5\, \text{cm}$. | 5 |
