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 long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$ and angle $\alpha = 70^o$. | 5 |
| 402 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 5 |
| 403 | Find the long base $ a $ of a trapezoid if long base $a = 1500\, \text{mm}$, short base $b = 2000\, \text{mm}$, side $c = 1800\, \text{mm}$ and diagonal $d = 2500\, \text{mm}$. | 5 |
| 404 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 5\, \text{mm}$. | 5 |
| 405 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 6.4\, \text{mm}$. | 5 |
| 406 | Find the side $ c $ of a trapezoid if long base $a = 0.765\, \text{in}$, short base $b = 0.68\, \text{in}$ and height $h = 0.76\, \text{in}$. | 5 |
| 407 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\beta = 120^o$. | 5 |
| 408 | Find the side $ c $ of a trapezoid if long base $a = 148\, \text{in}$, short base $b = 44\, \text{in}$ and angle $\beta = 22.5^o$. | 5 |
| 409 | Find the long base $ a $ of a trapezoid if long base $a = 401.01\, \text{ft}$, side $c = 213.88\, \text{ft}$ and height $h = 213\, \text{ft}$. | 5 |
| 410 | Find the long base $ a $ of a trapezoid if long base $a = 31.2\, \text{ft}$, short base $b = 31.2\, \text{ft}$ and side $c = 51.4\, \text{ft}$. | 5 |
| 411 | Find the long base $ a $ of a trapezoid if long base $a = 12.9\, \text{mm}$, height $h = 50\, \text{mm}$ and area $A = 479.25\, \text{mm}^2$. | 5 |
| 412 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 479.25\, \text{ft}^2$. | 5 |
| 413 | Find the long base $ a $ of a trapezoid if long base $a = 12.9\, \text{ft}$ and height $h = 50\, \text{ft}$. | 5 |
| 414 | Find the area $ A $ of a trapezoid if long base $a = 12.9\, \text{ft}$, short base $b = 31.6\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 237.5\, \text{ft}^2$. | 5 |
| 415 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 237.5\, \text{ft}^2$. | 5 |
| 416 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 60\, \text{ft}$ and area $A = 237.5\, \text{ft}^2$. | 5 |
| 417 | Find the short base $ b $ of a trapezoid if long base $a = 129\, \text{ft}$, height $h = 60\, \text{ft}$ and area $A = 585\, \text{ft}^2$. | 5 |
| 418 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 60\, \text{ft}$ and area $A = 585\, \text{ft}^2$. | 5 |
| 419 | Find the short base $ b $ of a trapezoid if long base $a = 12.9\, \text{ft}$, height $h = 50\, \text{ft}$ and area $A = 520\, \text{ft}^2$. | 5 |
| 420 | Find the height $ h $ of a trapezoid if long base $a = 127\, \text{in}$, short base $b = 55\, \text{in}$ and side $c = 51\, \text{in}$. | 5 |
| 421 | Find the short base $ b $ of a trapezoid if long base $a = 61.5\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 422 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 423 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 424 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 425 | Find the angle $ \beta $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 37.25\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 426 | Find the short base $ b $ of a trapezoid if long base $a = 48\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 83.6107^o$. | 5 |
| 427 | Find the short base $ b $ of a trapezoid if long base $a = 48\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 5 |
| 428 | Find the short base $ b $ of a trapezoid if long base $a = 40.26\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 5 |
| 429 | Find the side $ c $ of a trapezoid if long base $a = 19\, \text{in}$, short base $b = 17\, \text{in}$ and height $h = 9.5\, \text{in}$. | 5 |
| 430 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{ft}$, height $h = 32\, \text{ft}$ and angle $\beta = 90^o$. | 5 |
| 431 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{ft}$, height $h = 32\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 5 |
| 432 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{mm}$, short base $b = 12\, \text{mm}$ and diagonal $d = 39.41\, \text{mm}$. | 5 |
| 433 | Find the side $ c $ of a trapezoid if short base $b = 12\, \text{ft}$, diagonal $d = 39.41\, \text{ft}$ and height $h = 32\, \text{ft}$. | 5 |
| 434 | Find the short base $ b $ of a trapezoid if long base $a = 23\, \text{ft}$, side $c = 32\, \text{ft}$ and diagonal $d = 39.41\, \text{ft}$. | 5 |
| 435 | Find the short base $ b $ of a trapezoid if long base $a = 23\, \text{ft}$, diagonal $d = 39.41\, \text{ft}$ and height $h = 32\, \text{ft}$. | 5 |
| 436 | Find the long base $ a $ of a trapezoid if long base $a = 85\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 53\, \text{in}$ and height $h = 53\, \text{in}$. | 5 |
| 437 | Find the side $ c $ of a trapezoid if long base $a = 22\, \text{ft}$ and short base $b = 10\, \text{ft}$. | 5 |
| 438 | Find the side $ c $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 10\, \text{ft}$ and height $h = 25\, \text{ft}$. | 5 |
| 439 | Find the side $ c $ of a trapezoid if long base $a = 3.946\, \text{m}$, short base $b = 1\, \text{m}$ and height $h = 1.13\, \text{m}$. | 5 |
| 440 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 441 | Find the side $ c $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 442 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 85^o$. | 5 |
| 443 | Find the long base $ a $ of a trapezoid if side $c = 16\, \text{in}$, angle $\alpha = 95^o$ and angle $\beta = 85^o$. | 5 |
| 444 | Find the short base $ b $ of a trapezoid if side $c = 16.0611\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 445 | Find the long base $ a $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 446 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 447 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, side $c = 3\, \text{mm}$, diagonal $d = 4.24\, \text{mm}$, height $h = 3\, \text{mm}$ and angle $\alpha = 90^o$. | 5 |
| 448 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{m}$, height $h = 3\, \text{m}$ and angle $\alpha = 90^o$. | 5 |
| 449 | Find the short base $ b $ of a trapezoid if long base $a = 3\, \text{m}$, diagonal $d = 4.24\, \text{m}$, height $h = 3\, \text{m}$ and angle $\alpha = 90^o$. | 5 |
| 450 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 6\, \text{mm}$. | 5 |
