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 long base $a = \frac{ 1 }{ 25 }$, short base $b = \frac{ 27 }{ 1000 }$ and height $h = \frac{ 247 }{ 1000 }$. | 5 |
| 352 | Find the side $ c $ of a trapezoid if long base $a = 490$, short base $b = 100$ and angle $\alpha = 75^o$. | 5 |
| 353 | Find the of a trapezoid if long base $a = \frac{ 1199 }{ 20 }$, short base $b = \frac{ 597 }{ 10 }$ and side $c = \frac{ 9 }{ 20 }$. | 5 |
| 354 | Find the area $ A $ of a trapezoid if long base $a = 23$, short base $b = 15$ and side $c = \frac{ 1131 }{ 100 }$. | 5 |
| 355 | Find the area $ A $ of a trapezoid if long base $a = 32$, short base $b = 6$ and side $c = 15$. | 5 |
| 356 | Find the short base $ b $ of a trapezoid if long base $a = 26$, side $c = 6$ and angle $\beta = 120^o$. | 5 |
| 357 | Find the long base $ a $ of a trapezoid if long base $a = 164$, short base $b = \frac{ 782 }{ 5 }$, side $c = 54$, height $h = 164$ and perimeter $P = \frac{ 1972 }{ 5 }$. | 5 |
| 358 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$. | 5 |
| 359 | Find the height $ h $ of a trapezoid if short base $b = 18$, side $c = 11$ and angle $\beta = 45^o$. | 5 |
| 360 | Find the side $ c $ of a trapezoid if long base $a = 6$, short base $b = 3$ and side $c = 8$. | 5 |
| 361 | Find the short base $ b $ of a trapezoid if long base $a = 22$ and median $m = 19$. | 5 |
| 362 | Find the long base $ a $ of a trapezoid if short base $b = 11$, height $h = 8$ and area $A = 136$. | 5 |
| 363 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 5 |
| 364 | Find the long base $ a $ of a trapezoid if short base $b = 170$ and side $c = 190$. | 5 |
| 365 | Find the area $ A $ of a trapezoid if long base $a = 14$, short base $b = 8$ and side $c = 5$. | 5 |
| 366 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 39 }{ 5 }$, short base $b = \frac{ 16 }{ 5 }$ and side $c = \frac{ 29 }{ 5 }$. | 5 |
| 367 | Find the of a trapezoid if long base $a = 19$, short base $b = \frac{ 65 }{ 4 }$, side $c = \frac{ 439 }{ 25 }$ and height $h = \frac{ 35 }{ 2 }$. | 5 |
| 368 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 9243 }{ 100 }$, short base $b = \frac{ 859 }{ 10 }$ and side $c = 18$. | 5 |
| 369 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 9$, side $c = 5$, diagonal $d = 5$, height $h = 4$ and angle $\alpha = 5^o$. | 5 |
| 370 | Find the of a trapezoid if long base $a = \frac{ 111 }{ 4 }$, short base $b = \frac{ 93 }{ 4 }$ and height $h = \frac{ 11 }{ 2 }$. | 5 |
| 371 | Find the long base $ a $ of a trapezoid if side $c = 41$, height $h = 40$ and median $m = 45$. | 5 |
| 372 | Find the of a trapezoid if long base $a = 31$, short base $b = 16$ and side $c = 8$. | 5 |
| 373 | Find the short base $ b $ of a trapezoid if long base $a = 31$, side $c = 8$ and angle $\alpha = 45^o$. | 5 |
| 374 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 23019 }{ 1000 }$, height $h = \frac{ 143 }{ 10 }$ and angle $\alpha = 67^o$. | 5 |
| 375 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 2067 }{ 250 }$, height $h = \frac{ 127 }{ 10 }$ and angle $\alpha = 67^o$. | 5 |
| 376 | Find the side $ c $ of a trapezoid if long base $a = 26$, short base $b = 8$ and height $h = 9$. | 5 |
| 377 | Find the angle $ \beta $ of a trapezoid if long base $a = 3$, short base $b = 1$ and height $h = 2$. | 5 |
| 378 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = 6$, height $h = \frac{ 59 }{ 10 }$ and angle $\alpha = 80^o$. | 5 |
| 379 | Find the side $ c $ of a trapezoid if long base $a = 39\, \text{mm}$, short base $b = 30\, \text{mm}$ and height $h = 909\, \text{mm}$. | 5 |
| 380 | Find the long base $ a $ of a trapezoid if long base $a = 50000\, \text{mm}$, short base $b = 55872\, \text{mm}$ and side $c = 42223\, \text{mm}$. | 5 |
| 381 | Find the short base $ b $ of a trapezoid if long base $a = 10.25\, \text{in}$, side $c = 7\, \text{in}$ and area $A = 36\, \text{in}^2$. | 5 |
| 382 | Find the short base $ b $ of a trapezoid if long base $a = 900\, \text{mm}$, height $h = 750\, \text{mm}$ and angle $\alpha = 45^o$. | 5 |
| 383 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{m}$, short base $b = 4.5\, \text{m}$, side $c = 3.65\, \text{m}$ and angle $\alpha = 90^o$. | 5 |
| 384 | Find the short base $ b $ of a trapezoid if long base $a = 22.35\, \text{mm}$, height $h = 13.4\, \text{mm}$ and angle $\beta = 110^o$. | 5 |
| 385 | Find the perimeter $ P $ of a trapezoid if long base $a = 6\, \text{ft}$, short base $b = 2\, \text{ft}$ and height $h = 8\, \text{in}$. | 5 |
| 386 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{ft}$, short base $b = 15\, \text{mm}$, side $c = 29\, \text{ft}$, height $h = 21\, \text{ft}$, area $A = 735\, \text{ft}^2$ and perimeter $P = 128\, \text{mm}$. | 5 |
| 387 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{in}$, short base $b = 12.7\, \text{in}$ and side $c = 5.3\, \text{in}$. | 5 |
| 388 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 80\, \text{mm}$ and height $h = 40\, \text{mm}$. | 5 |
| 389 | Find the area $ A $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 80\, \text{mm}$ and height $h = 60\, \text{mm}$. | 5 |
| 390 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.144\, \text{mm}$, short base $b = 0.1142\, \text{mm}$ and height $h = 0.0318\, \text{mm}$. | 5 |
| 391 | Find the long base $ a $ of a trapezoid if long base $a = 1350\, \text{mm}$, short base $b = 835\, \text{mm}$ and height $h = 1654\, \text{mm}$. | 5 |
| 392 | Find the long base $ a $ of a trapezoid if long base $a = 46.5\, \text{in}$, side $c = 34\, \text{in}$ and height $h = 6\, \text{in}$. | 5 |
| 393 | Find the short base $ b $ of a trapezoid if long base $a = 1.884\, \text{m}$, side $c = 1.2\, \text{mm}$ and diagonal $d = 1.2\, \text{mm}$. | 5 |
| 394 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 34\, \text{in}$. | 5 |
| 395 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{in}$ and short base $b = 6\, \text{in}$. | 5 |
| 396 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{in}$ and height $h = 65\, \text{in}$. | 5 |
| 397 | Find the short base $ b $ of a trapezoid if long base $a = 27.5\, \text{m}$, height $h = 1.2\, \text{m}$ and angle $\alpha = 18.43^o$. | 5 |
| 398 | Find the long base $ a $ of a trapezoid if long base $a = 36.5\, \text{in}$, short base $b = 25.25\, \text{in}$ and height $h = 132.96\, \text{in}$. | 5 |
| 399 | Find the long base $ a $ of a trapezoid if short base $b = 12.625\, \text{mm}$, height $h = 101\, \text{mm}$, angle $\alpha = 85.632^o$ and angle $\beta = 94.368^o$. | 5 |
| 400 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$ and side $c = 6\, \text{ft}$. | 5 |
