Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1301 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{m}$, short base $b = 9\, \text{m}$ and angle $\alpha = 37^o$. | 3 |
| 1302 | Find the area $ A $ of a trapezoid if long base $a = 67\, \text{ft}$, short base $b = 62\, \text{ft}$ and side $c = 47\, \text{ft}$. | 3 |
| 1303 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{m}$, short base $b = 18\, \text{m}$ and side $c = 10\, \text{m}$. | 3 |
| 1304 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{ft}$, diagonal $d = 65.45\, \text{ft}$, height $h = 22\, \text{ft}$ and area $A = 1265\, \text{ft}^2$. | 3 |
| 1305 | Find the long base $ a $ of a trapezoid if short base $b = 18.42\, \text{ft}$, height $h = 15.5\, \text{ft}$ and angle $\beta = 100^o$. | 3 |
| 1306 | Find the long base $ a $ of a trapezoid if long base $a = 149.5\, \text{in}$, short base $b = 39.25\, \text{in}$ and height $h = 95.625\, \text{in}$. | 3 |
| 1307 | Find the height $ h $ of a trapezoid if long base $a = 4.5\, \text{mm}$, short base $b = 4.18\, \text{mm}$ and side $c = 6\, \text{mm}$. | 3 |
| 1308 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{in}$, short base $b = 6\, \text{in}$ and side $c = 8\, \text{in}$. | 3 |
| 1309 | Find the side $ c $ of a trapezoid if long base $a = 30.6\, \text{cm}$, short base $b = 15.8\, \text{cm}$ and height $h = 14.3\, \text{cm}$. | 3 |
| 1310 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 3 |
| 1311 | Find the long base $ a $ of a trapezoid if short base $b = 2.75\, \text{in}$, height $h = \frac{ 5 }{ 8 }\, \text{mm}$ and angle $\alpha = 70.5^o$. | 3 |
| 1312 | Find the area $ A $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 5.2\, \text{mm}$ and side $c = 42.6\, \text{mm}$. | 3 |
| 1313 | Find the long base $ a $ of a trapezoid if long base $a = 46\, \text{in}$, side $c = 60\, \text{in}$ and angle $\alpha = 90^o$. | 3 |
| 1314 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 18\, \text{mm}$ and angle $\alpha = 50^o$. | 3 |
| 1315 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 12\, \text{in}$. | 3 |
| 1316 | Find the short base $ b $ of a trapezoid if long base $a = 2082\, \text{mm}$, height $h = 610\, \text{mm}$ and angle $\beta = 110^o$. | 3 |
| 1317 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{in}$, short base $b = 13.5\, \text{in}$, side $c = 19\, \text{in}$ and diagonal $d = 19\, \text{in}$. | 3 |
| 1318 | Find the long base $ a $ of a trapezoid if long base $a = 142\, \text{mm}$, short base $b = 130\, \text{mm}$ and side $c = 100\, \text{mm}$. | 3 |
| 1319 | Find the long base $ a $ of a trapezoid if side $c = 50\, \text{mm}$, angle $\alpha = 77^o$ and angle $\beta = 103^o$. | 3 |
| 1320 | Find the long base $ a $ of a trapezoid if long base $a = 1840\, \text{mm}$, short base $b = 1424\, \text{mm}$ and side $c = 1604\, \text{mm}$. | 3 |
| 1321 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{ft}$, short base $b = 1915\, \text{mm}$, side $c = 49\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1322 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{ft}$, side $c = 7\, \text{ft}$ and height $h = 12\, \text{ft}$. | 3 |
| 1323 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 0.6\, \text{mm}$ and side $c = 1.5\, \text{mm}$. | 3 |
| 1324 | Find the angle $ \beta $ of a trapezoid if long base $a = 40\, \text{ft}$ and short base $b = 15\, \text{ft}$. | 3 |
| 1325 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, side $c = 16\, \text{in}$ and angle $\alpha = 60^o$. | 3 |
| 1326 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 21\, \text{ft}$ and height $h = 71\, \text{ft}$. | 3 |
| 1327 | Find the short base $ b $ of a trapezoid if long base $a = 350\, \text{cm}$, side $c = 105\, \text{cm}$ and angle $\alpha = 40^o$. | 3 |
| 1328 | Find the short base $ b $ of a trapezoid if long base $a = 36\, \text{in}$ and height $h = 24\, \text{in}$. | 3 |
| 1329 | Find the area $ A $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 21\, \text{mm}$ and height $h = 12\, \text{mm}$. | 3 |
| 1330 | Find the angle $ \alpha $ of a trapezoid if long base $a = 820\, \text{mm}$, short base $b = 850\, \text{mm}$, side $c = 600\, \text{mm}$ and diagonal $d = 380\, \text{mm}$. | 3 |
| 1331 | Find the long base $ a $ of a trapezoid if long base $a = 1895\, \text{mi}$, short base $b = 1126\, \text{cm}$ and height $h = 698\, \text{cm}$. | 3 |
| 1332 | Find the area $ A $ of a trapezoid if short base $b = 19500\, \text{mm}$, side $c = 11000\, \text{mm}$ and height $h = 9480\, \text{mm}$. | 3 |
| 1333 | Find the area $ A $ of a trapezoid if long base $a = 21.75\, \text{ft}$, short base $b = 14.75\, \text{ft}$ and height $h = 15\, \text{ft}$. | 3 |
| 1334 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 3 |
| 1335 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 4\, \text{ft}$. | 3 |
| 1336 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 6\, \text{ft}$. | 3 |
| 1337 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{ft}$, side $c = 6\, \text{ft}$ and height $h = 2\, \text{ft}$. | 3 |
| 1338 | Find the angle $ \beta $ of a trapezoid if long base $a = 95\, \text{mm}$, short base $b = 102\, \text{mm}$, side $c = 60\, \text{mm}$, diagonal $d = 25\, \text{mm}$, height $h = 60\, \text{mm}$, median $m = 95\, \text{mm}$, perimeter $P = 282\, \text{mm}$ and angle $\alpha = 90^o$. | 3 |
| 1339 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 30^o$. | 3 |
| 1340 | Find the side $ c $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 72^o$. | 3 |
| 1341 | Find the height $ h $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 15\, \text{in}$ and angle $\alpha = 30^o$. | 3 |
| 1342 | Find the side $ c $ of a trapezoid if long base $a = 2.78\, \text{in}$, height $h = 1.5\, \text{in}$ and angle $\alpha = 72^o$. | 3 |
| 1343 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 35^o$. | 3 |
| 1344 | Find the long base $ a $ of a trapezoid if long base $a = 55.9\, \text{ft}$, short base $b = 45.6\, \text{ft}$ and side $c = 41.3\, \text{ft}$. | 3 |
| 1345 | Find the short base $ b $ of a trapezoid if long base $a = 13\, \text{mm}$ and height $h = 10\, \text{mm}$. | 3 |
| 1346 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 22^o$. | 3 |
| 1347 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 20\, \text{in}$. | 3 |
| 1348 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12\, \text{in}$ and height $h = 20\, \text{in}$. | 3 |
| 1349 | Find the side $ c $ of a trapezoid if long base $a = 65\, \text{mm}$, short base $b = 4.5\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1350 | Find the long base $ a $ of a trapezoid if long base $a = 190\, \text{ft}$, short base $b = 180.29\, \text{ft}$ and side $c = 111.34\, \text{ft}$. | 3 |
