Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 351 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{mm}$ and height $h = 1\, \text{mm}$. | 5 |
| 352 | 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 |
| 353 | 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 |
| 354 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{mm}$. | 5 |
| 355 | 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 |
| 356 | 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 |
| 357 | 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 |
| 358 | 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 |
| 359 | 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 |
| 360 | 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 |
| 361 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46.25\, \text{in}$ and short base $b = 25.5\, \text{in}$. | 5 |
| 362 | 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 |
| 363 | 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 |
| 364 | 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 |
| 365 | 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 |
| 366 | 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 |
| 367 | 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 |
| 368 | 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 |
| 369 | 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 |
| 370 | 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 |
| 371 | Find the long base $ a $ of a trapezoid if short base $b = 4.7\, \text{mm}$, height $h = 9.2\, \text{mm}$ and area $A = 76.4\, \text{mm}^2$. | 5 |
| 372 | Find the height $ h $ of a trapezoid if long base $a = 6.4\, \text{mm}$, short base $b = 2.6\, \text{mm}$ and area $A = 21.2\, \text{mm}^2$. | 5 |
| 373 | Find the short base $ b $ of a trapezoid if long base $a = 6.6\, \text{mm}$, height $h = 6\, \text{mm}$ and area $A = 28.8\, \text{mm}^2$. | 5 |
| 374 | Find the area $ A $ of a trapezoid if long base $a = 70.583\, \text{ft}$, short base $b = 52.75\, \text{ft}$ and side $c = 23.25\, \text{ft}$. | 5 |
| 375 | Find the area $ A $ of a trapezoid if long base $a = 101\, \text{ft}$, short base $b = 70.583\, \text{ft}$ and side $c = 24.5\, \text{ft}$. | 5 |
| 376 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$ and side $c = 6\, \text{ft}$. | 5 |
| 377 | 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 |
| 378 | 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 |
| 379 | 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 |
| 380 | 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 |
| 381 | 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 |
| 382 | 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 |
| 383 | 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 |
| 384 | 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 |
| 385 | 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 |
| 386 | 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 |
| 387 | 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 |
| 388 | 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 |
| 389 | 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 |
| 390 | 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 |
| 391 | 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 |
| 392 | 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 |
| 393 | Find the long base $ a $ of a trapezoid if side $c = 9\, \text{ft}$, height $h = 8\, \text{ft}$ and median $m = 9\, \text{mm}$. | 5 |
| 394 | Find the long base $ a $ of a trapezoid if long base $a = 20.1\, \text{mm}$, side $c = 6\, \text{cm}$ and angle $\alpha = 60^o$. | 5 |
| 395 | Find the short base $ b $ of a trapezoid if long base $a = 55\, \text{mm}$, side $c = 44\, \text{mm}$, height $h = 44\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 396 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 45^o$. | 5 |
| 397 | Find the side $ c $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 30\, \text{in}$ and height $h = 96\, \text{in}$. | 5 |
| 398 | Find the side $ c $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 32\, \text{in}$ and height $h = 96\, \text{in}$. | 5 |
| 399 | Find the short base $ b $ of a trapezoid if long base $a = 86\, \text{mm}$, angle $\alpha = 46.302^o$ and angle $\beta = 133.698^o$. | 5 |
| 400 | Find the short base $ b $ of a trapezoid if long base $a = 86\, \text{mm}$, height $h = 60.5\, \text{mm}$, angle $\alpha = 46.302^o$ and angle $\beta = 133.698^o$. | 5 |
