Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 201 | Find the short base $ b $ of a trapezoid if long base $a = 21.5\, \text{in}$ and side $c = 11\, \text{in}$. | 7 |
| 202 | Find the angle $ \beta $ of a trapezoid if long base $a = 95\, \text{cm}$, short base $b = 45\, \text{cm}$ and side $c = 45\, \text{cm}$. | 7 |
| 203 | Find the long base $ a $ of a trapezoid if short base $b = 47.8\, \text{ft}$, height $h = 7.5\, \text{ft}$ and angle $\beta = 120^o$. | 7 |
| 204 | Find the angle $ \alpha $ of a trapezoid if long base $a = 70\, \text{cm}$, short base $b = 64\, \text{cm}$ and side $c = 70\, \text{mm}$. | 7 |
| 205 | Find the short base $ b $ of a trapezoid if long base $a = 69.125\, \text{in}$, height $h = 8.375\, \text{in}$ and angle $\alpha = 89.9116^o$. | 7 |
| 206 | Find the long base $ a $ of a trapezoid if long base $a = 105\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 72\, \text{in}$. | 7 |
| 207 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, side $c = 6\, \text{cm}$ and height $h = 4\, \text{cm}$. | 7 |
| 208 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{cm}$, side $c = 9\, \text{cm}$ and angle $\alpha = 45^o$. | 7 |
| 209 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mm}$, short base $b = 13\, \text{cm}$ and area $A = 54\, \text{cm}$. | 7 |
| 210 | Find the short base $ b $ of a trapezoid if long base $a = 28\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 7 |
| 211 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{cm}$, short base $b = 45\, \text{cm}$ and height $h = 90\, \text{cm}$. | 7 |
| 212 | Find the long base $ a $ of a trapezoid if long base $a = 910\, \text{ft}$, short base $b = 500\, \text{cm}$ and side $c = 449.5\, \text{cm}$. | 7 |
| 213 | Find the long base $ a $ of a trapezoid if short base $b = 40\, \text{cm}$, height $h = 10\, \text{cm}$ and angle $\alpha = 30^o$. | 7 |
| 214 | Find the long base $ a $ of a trapezoid if side $c = 4.5\, \text{cm}$, height $h = 6\, \text{cm}$ and area $A = 34.5\, \text{cm}$. | 7 |
| 215 | Find the long base $ a $ of a trapezoid if long base $a = 420\, \text{ft}$, short base $b = 85\, \text{cm}$ and side $c = 554.4185\, \text{cm}$. | 7 |
| 216 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{km}$, short base $b = 5\, \text{cm}$ and side $c = 6\, \text{cm}$. | 7 |
| 217 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mi}$, short base $b = 16.25\, \text{cm}$ and side $c = 17.56\, \text{cm}$. | 7 |
| 218 | Find the height $ h $ of a trapezoid if long base $a = 210\, \text{mm}$, short base $b = 170\, \text{mm}$ and side $c = 50\, \text{mm}$. | 7 |
| 219 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$. | 7 |
| 220 | Find the short base $ b $ of a trapezoid if long base $a = 12\, \text{mm}$, height $h = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 7 |
| 221 | Find the side $ c $ of a trapezoid if long base $a = 450\, \text{mm}$, side $c = 300\, \text{mm}$ and height $h = 300\, \text{mm}$. | 6 |
| 222 | Find the short base $ b $ of a trapezoid if long base $a = 14\, \text{mm}$, height $h = 2.2\, \text{mm}$ and angle $\alpha = 60^o$. | 6 |
| 223 | Find the long base $ a $ of a trapezoid if median $m = 11\, \text{mm}$. | 6 |
| 224 | Find the height $ h $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 16\, \text{mm}$ and median $m = 26\, \text{mm}$. | 6 |
| 225 | Find the long base $ a $ of a trapezoid if side $c = 6\, \text{mm}$, area $A = 30\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 226 | Find the long base $ a $ of a trapezoid if long base $a = 2300\, \text{mm}$, short base $b = 1233\, \text{mm}$, side $c = 1333\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 6 |
| 227 | Find the long base $ a $ of a trapezoid if long base $a = 2160\, \text{mm}$, side $c = 1000\, \text{mm}$ and angle $\alpha = 90^o$. | 6 |
| 228 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, side $c = 8\, \text{mm}$ and height $h = 6\, \text{mm}$. | 6 |
| 229 | Find the side $ c $ of a trapezoid if height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 6 |
| 230 | Find the short base $ b $ of a trapezoid if long base $a = 2.21\, \text{m}$, side $c = 3.25\, \text{m}$ and height $h = 3.15\, \text{m}$. | 6 |
| 231 | Find the angle $ \beta $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 15\, \text{in}$ and side $c = 53.625\, \text{in}$. | 6 |
| 232 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, side $c = 3\, \text{cm}$ and height $h = 2\, \text{cm}$. | 6 |
| 233 | 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 |
| 234 | 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 |
| 235 | 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 |
| 236 | 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 |
| 237 | 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 |
| 238 | 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 |
| 239 | 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 |
| 240 | 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 |
| 241 | 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 |
| 242 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 6.5\, \text{in}$ and angle $\alpha = 60^o$. | 6 |
| 243 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{ft}$ and side $c = 2.5\, \text{ft}$. | 6 |
| 244 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{ft}$, side $c = 10\, \text{ft}$, height $h = 9\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 245 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{ft}$, side $c = 18\, \text{cm}$, median $m = 9\, \text{cm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 246 | Find the short base $ b $ of a trapezoid if long base $a = 42.84\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 6 |
| 247 | Find the short base $ b $ of a trapezoid if long base $a = 38.97\, \text{in}$, height $h = 5.75\, \text{in}$ and angle $\alpha = 83.6107^o$. | 6 |
| 248 | Find the side $ c $ of a trapezoid if long base $a = 32\, \text{in}$, short base $b = 16\, \text{in}$ and height $h = 24\, \text{in}$. | 6 |
| 249 | Find the side $ c $ of a trapezoid if long base $a = 20$ and short base $b = 16$. | 6 |
| 250 | Find the long base $ a $ of a trapezoid if long base $a = 665$, side $c = 966$ and angle $\alpha = 90^o$. | 6 |
