Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 301 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{mm}$ and median $m = 19\, \text{cm}$. | 6 |
| 302 | Find the long base $ a $ of a trapezoid if long base $a = 25.5\, \text{mi}$, short base $b = 22\, \text{cm}$ and side $c = 22\, \text{cm}$. | 6 |
| 303 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 5.5\, \text{in}$ and height $h = 48\, \text{in}$. | 6 |
| 304 | Find the long base $ a $ of a trapezoid if short base $b = 38\, \text{in}$, height $h = 16\, \text{in}$ and angle $\alpha = 45^o$. | 6 |
| 305 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and angle $\alpha = 45^o$. | 6 |
| 306 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 5\, \text{mm}$. | 6 |
| 307 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 12.5\, \text{in}$. | 6 |
| 308 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 5\, \text{mm}$ and side $c = 4\, \text{mm}$. | 6 |
| 309 | Find the area $ A $ of a trapezoid if long base $a = 22\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 2.75\, \text{mm}$. | 6 |
| 310 | Find the area $ A $ of a trapezoid if long base $a = 39.04\, \text{in}$, height $h = 24.04\, \text{in}$ and angle $\alpha = 60^o$. | 6 |
| 311 | 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 |
| 312 | 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 |
| 313 | 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 |
| 314 | 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 |
| 315 | 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 |
| 316 | 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 |
| 317 | 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 |
| 318 | 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 |
| 319 | Find the side $ c $ of a trapezoid if long base $a = 22\, \text{ft}$ and short base $b = 10\, \text{ft}$. | 5 |
| 320 | 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 |
| 321 | 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 |
| 322 | 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 |
| 323 | Find the side $ c $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 324 | 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 |
| 325 | Find the long base $ a $ of a trapezoid if side $c = 16\, \text{in}$, angle $\alpha = 95^o$ and angle $\beta = 85^o$. | 5 |
| 326 | 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 |
| 327 | Find the long base $ a $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 5 |
| 328 | 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 |
| 329 | 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 |
| 330 | 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 |
| 331 | 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 |
| 332 | 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 |
| 333 | Find the short base $ b $ of a trapezoid if long base $a = 143\, \text{in}$, height $h = 9.6563\, \text{ft}$ and angle $\alpha = 60^o$. | 5 |
| 334 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{mm}$, side $c = 20\, \text{mm}$ and height $h = 19\, \text{mm}$. | 5 |
| 335 | Find the area $ A $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$ and angle $\beta = 10^o$. | 5 |
| 336 | Find the angle $ \alpha $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 10^o$. | 5 |
| 337 | Find the area $ A $ of a trapezoid if short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 10^o$. | 5 |
| 338 | Find the long base $ a $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 38\, \text{mm}$, height $h = 17\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 5 |
| 339 | Find the long base $ a $ of a trapezoid if long base $a = 0.25\, \text{mm}$, short base $b = 0.01\, \text{mm}$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 5 |
| 340 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, side $c = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 341 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, side $c = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 342 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 343 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 14\, \text{in}$. | 5 |
| 344 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 58\, \text{in}$. | 5 |
| 345 | 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 |
| 346 | 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 |
| 347 | 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 |
| 348 | 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 |
| 349 | Find the long base $ a $ of a trapezoid if long base $a = 12.9\, \text{ft}$ and height $h = 50\, \text{ft}$. | 5 |
| 350 | 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 |
