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 short base $ b $ of a trapezoid if side $c = 17$, height $h = 16$ and area $A = 180$. | 5 |
| 302 | Find the diagonal $ d $ of a trapezoid if long base $a = 21.8125\, \text{in}$, short base $b = 19.375\, \text{in}$ and height $h = 13\, \text{in}$. | 5 |
| 303 | Find the long base $ a $ of a trapezoid if long base $a = 42\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 18\, \text{mm}$. | 5 |
| 304 | Find the long base $ a $ of a trapezoid if angle $\alpha = 90^o$. | 5 |
| 305 | Find the height $ h $ of a trapezoid if long base $a = 7.6\, \text{mm}$, short base $b = 19\, \text{mm}$ and area $A = 202.16\, \text{mm}^2$. | 5 |
| 306 | Find the short base $ b $ of a trapezoid if long base $a = 0.5\, \text{in}$, side $c = 0.3\, \text{in}$ and angle $\beta = 45^o$. | 5 |
| 307 | Find the angle $ \alpha $ of a trapezoid if long base $a = 60\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 22.5\, \text{ft}$. | 5 |
| 308 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 40\, \text{in}$ and height $h = 30\, \text{in}$. | 5 |
| 309 | Find the height $ h $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 13\, \text{mm}$. | 5 |
| 310 | Find the side $ c $ of a trapezoid if long base $a = 10.5\, \text{in}$, short base $b = 7\, \text{in}$ and side $c = 15.5\, \text{in}$. | 5 |
| 311 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 3.5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 5 |
| 312 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 3.5\, \text{in}$ and height $h = 3.5\, \text{in}$. | 5 |
| 313 | Find the long base $ a $ of a trapezoid if short base $b = 1.25\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 5 |
| 314 | Find the side $ c $ of a trapezoid if long base $a = 300\, \text{cm}$, short base $b = 240\, \text{mm}$ and height $h = 240\, \text{mm}$. | 5 |
| 315 | Find the short base $ b $ of a trapezoid if long base $a = 1775\, \text{mm}$, height $h = 489\, \text{mm}$ and angle $\alpha = 16.5^o$. | 5 |
| 316 | Find the long base $ a $ of a trapezoid if height $h = 0.25\, \text{in}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 5 |
| 317 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 8.66\, \text{mm}$ and side $c = 5\, \text{mm}$. | 5 |
| 318 | Find the area $ A $ of a trapezoid if long base $a = 183\, \text{m}$, short base $b = 163\, \text{m}$, side $c = 93\, \text{m}$, diagonal $d = 63\, \text{m}$ and height $h = 1\, \text{mm}$. | 5 |
| 319 | 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 |
| 320 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 4\, \text{mm}$. | 5 |
| 321 | 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 |
| 322 | 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 |
| 323 | 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 |
| 324 | 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 |
| 325 | 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 |
| 326 | 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 |
| 327 | 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 |
| 328 | 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 |
| 329 | 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 |
| 330 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{in}$ and height $h = 12\, \text{in}$. | 5 |
| 331 | 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 |
| 332 | 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 |
| 333 | 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 |
| 334 | 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 |
| 335 | 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 |
| 336 | Find the short base $ b $ of a trapezoid if long base $a = 1.05\, \text{m}$, side $c = 0.9\, \text{mm}$ and height $h = 0.9\, \text{mm}$. | 5 |
| 337 | Find the height $ h $ of a trapezoid if long base $a = 10\, \text{cm}$, short base $b = 7\, \text{cm}$, side $c = 4\, \text{cm}$ and diagonal $d = 5\, \text{cm}$. | 5 |
| 338 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 14\, \text{ft}$ and side $c = 8\, \text{ft}$. | 5 |
| 339 | Find the long base $ a $ of a trapezoid if long base $a = 34.44\, \text{ft}$, short base $b = 40\, \text{ft}$, side $c = 24.27\, \text{ft}$ and angle $\alpha = 103^o$. | 5 |
| 340 | Find the long base $ a $ of a trapezoid if long base $a = 34.44\, \text{ft}$, short base $b = 40\, \text{ft}$ and angle $\alpha = 103^o$. | 5 |
| 341 | Find the long base $ a $ of a trapezoid if long base $a = 34.44\, \text{ft}$, short base $b = 40\, \text{ft}$ and side $c = 24.27\, \text{ft}$. | 5 |
| 342 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 12.25\, \text{in}$, height $h = 3.5\, \text{in}$, area $A = 39\, \text{in}^2$ and angle $\beta = 155^o$. | 5 |
| 343 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 48\, \text{in}$. | 5 |
| 344 | Find the long base $ a $ of a trapezoid if long base $a = 0.34\, \text{mm}$, short base $b = 1.19\, \text{mm}$ and area $A = 0.36\, \text{mm}^2$. | 5 |
| 345 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{mm}$, height $h = 63\, \text{mm}$ and angle $\alpha = 65^o$. | 5 |
| 346 | Find the long base $ a $ of a trapezoid if long base $a = 23\, \text{ft}$, short base $b = 15\, \text{cm}$, side $c = 11.31\, \text{cm}$ and angle $\alpha = 45^o$. | 5 |
| 347 | Find the angle $ \alpha $ of a trapezoid if long base $a = 78\, \text{in}$, short base $b = 72\, \text{in}$ and side $c = 21\, \text{in}$. | 5 |
| 348 | Find the long base $ a $ of a trapezoid if long base $a = 81\, \text{in}$, side $c = 33\, \text{in}$ and angle $\alpha = 5^o$. | 5 |
| 349 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{mm}$ and angle $\alpha = 45^o$. | 5 |
| 350 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11\, \text{ft}$, side $c = 5.5\, \text{ft}$ and angle $\beta = 120^o$. | 5 |
