Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 1201 | Find the long base $ a $ of a trapezoid if long base $a = 566\, \text{mm}$, short base $b = 323\, \text{mm}$ and angle $\alpha = 40^o$. | 3 |
| 1202 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{m}$, short base $b = 3\, \text{m}$ and height $h = 3\, \text{m}$. | 3 |
| 1203 | Find the long base $ a $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1204 | Find the perimeter $ P $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1205 | Find the area $ A $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1206 | Find the diagonal $ d $ of a trapezoid if long base $a = 97.5\, \text{in}$, short base $b = 16\, \text{in}$ and side $c = 90.75\, \text{in}$. | 3 |
| 1207 | Find the short base $ b $ of a trapezoid if long base $a = 1206\, \text{ft}$, height $h = 247\, \text{ft}$, angle $\alpha = 52^o$ and angle $\beta = 52^o$. | 3 |
| 1208 | Find the area $ A $ of a trapezoid if long base $a = 8.7\, \text{mm}$, short base $b = 3.1\, \text{mm}$ and side $c = 4\, \text{mm}$. | 3 |
| 1209 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24.4\, \text{in}$, side $c = 41\, \text{in}$ and diagonal $d = 41\, \text{in}$. | 3 |
| 1210 | Find the height $ h $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24.4\, \text{in}$, side $c = 41\, \text{in}$ and diagonal $d = 41\, \text{in}$. | 3 |
| 1211 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 12\, \text{mm}$ and angle $\alpha = 15^o$. | 3 |
| 1212 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, side $c = 16\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1213 | Find the long base $ a $ of a trapezoid if long base $a = 56\, \text{ft}$, short base $b = 37\, \text{mm}$ and angle $\alpha = 40^o$. | 3 |
| 1214 | Find the long base $ a $ of a trapezoid if long base $a = 36.75\, \text{mm}$, short base $b = 28.75\, \text{mm}$ and height $h = 14\, \text{mm}$. | 3 |
| 1215 | Find the long base $ a $ of a trapezoid if long base $a = 100\, \text{cm}$, short base $b = 40\, \text{cm}$ and side $c = 82\, \text{cm}$. | 3 |
| 1216 | Find the long base $ a $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and height $h = 18.1789\, \text{ft}$. | 3 |
| 1217 | Find the height $ h $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and angle $\alpha = 75^o$. | 3 |
| 1218 | Find the long base $ a $ of a trapezoid if short base $b = 31\, \text{in}$, height $h = 18\, \text{in}$ and angle $\alpha = 45^o$. | 3 |
| 1219 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 10\, \text{ft}$ and height $h = 10\, \text{ft}$. | 3 |
| 1220 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{mm}$, short base $b = 8\, \text{mm}$, height $h = 9\, \text{mm}$ and area $A = 94.5\, \text{mm}^2$. | 3 |
| 1221 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{ft}$, height $h = 18\, \text{ft}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 3 |
| 1222 | Find the height $ h $ of a trapezoid if long base $a = 205.75\, \text{mm}$, short base $b = 190.49\, \text{mm}$ and side $c = 40.53\, \text{mm}$. | 3 |
| 1223 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{cm}$, short base $b = 19.2\, \text{cm}$ and height $h = 150\, \text{cm}$. | 3 |
| 1224 | Find the long base $ a $ of a trapezoid if long base $a = 223\, \text{mm}$, short base $b = 279\, \text{mm}$, side $c = 198\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 3 |
| 1225 | Find the height $ h $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 5\, \text{mm}$. | 3 |
| 1226 | Find the angle $ \alpha $ of a trapezoid if long base $a = 389\, \text{mm}$, short base $b = 315\, \text{mm}$ and height $h = 763\, \text{mm}$. | 3 |
| 1227 | Find the area $ A $ of a trapezoid if long base $a = 16\, \text{ft}$, short base $b = 10\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1228 | Find the height $ h $ of a trapezoid if long base $a = 16\, \text{ft}$, short base $b = 10\, \text{ft}$ and angle $\alpha = 45^o$. | 3 |
| 1229 | Find the long base $ a $ of a trapezoid if long base $a = 12.5\, \text{mm}$, height $h = 6\, \text{mm}$ and angle $\beta = 97^o$. | 3 |
| 1230 | Find the long base $ a $ of a trapezoid if short base $b = 7.5\, \text{mm}$, angle $\alpha = 83^o$ and angle $\beta = 97^o$. | 3 |
| 1231 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 4.4\, \text{mm}$, height $h = 2.8\, \text{mm}$ and area $A = 17.36\, \text{mm}^2$. | 3 |
| 1232 | Find the long base $ a $ of a trapezoid if long base $a = 6.5\, \text{in}$, short base $b = 4.5\, \text{in}$ and height $h = 8\, \text{in}$. | 3 |
| 1233 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 30\, \text{in}$ and angle $\alpha = 88^o$. | 3 |
| 1234 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2387.3\, \text{mm}$, short base $b = 2302.6\, \text{mm}$ and height $h = 970\, \text{mm}$. | 3 |
| 1235 | Find the long base $ a $ of a trapezoid if long base $a = 30\, \text{ft}$, short base $b = 30\, \text{ft}$, side $c = 29.4\, \text{ft}$ and diagonal $d = 20\, \text{ft}$. | 3 |
| 1236 | 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 |
| 1237 | 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 |
| 1238 | 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 |
| 1239 | 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 |
| 1240 | 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 |
| 1241 | 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 |
| 1242 | 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 |
| 1243 | Find the short base $ b $ of a trapezoid if long base $a = 36\, \text{in}$ and height $h = 24\, \text{in}$. | 3 |
| 1244 | 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 |
| 1245 | 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 |
| 1246 | 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 |
| 1247 | 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 |
| 1248 | 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 |
| 1249 | 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 |
| 1250 | 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 |