Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6301 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, height $h = 24\, \text{in}$, angle $\alpha = 22.5^o$ and angle $\beta = 22.5^o$. | 2 |
| 6302 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 22.5^o$. | 2 |
| 6303 | Find the short base $ b $ of a trapezoid if long base $a = 72\, \text{in}$, height $h = 24\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 6304 | Find the height $ h $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 5\, \text{ft}$ and side $c = 3\, \text{ft}$. | 2 |
| 6305 | Find the height $ h $ of a trapezoid if long base $a = 9\, \text{ft}$, short base $b = 6\, \text{ft}$ and side $c = 3\, \text{ft}$. | 2 |
| 6306 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 10\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 6307 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 56\, \text{in}$. | 1 |
| 6308 | Find the side $ c $ of a trapezoid if long base $a = 40\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 56\, \text{in}$. | 1 |
| 6309 | Find the long base $ a $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 28\, \text{in}$ and angle $\beta = 12^o$. | 1 |
| 6310 | Find the long base $ a $ of a trapezoid if short base $b = 10.5\, \text{in}$, height $h = 28\, \text{in}$ and angle $\beta = 12^o$. | 1 |
| 6311 | Find the long base $ a $ of a trapezoid if long base $a = 10.5\, \text{in}$, height $h = 28\, \text{in}$ and angle $\alpha = 84.9^o$. | 1 |
| 6312 | Find the short base $ b $ of a trapezoid if long base $a = 70.375\, \text{in}$, height $h = 34.5\, \text{in}$ and angle $\alpha = 22.5^o$. | 1 |
| 6313 | Find the long base $ a $ of a trapezoid if short base $b = 90\, \text{mm}$, height $h = 14\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 1 |
| 6314 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 42\, \text{mm}$ and side $c = 4\, \text{mm}$. | 1 |
| 6315 | Find the long base $ a $ of a trapezoid if long base $a = 20.8\, \text{mm}$, short base $b = 20.1\, \text{mm}$ and height $h = 16.75\, \text{mm}$. | 1 |
| 6316 | Find the angle $ \alpha $ of a trapezoid if long base $a = 20.8\, \text{mm}$, short base $b = 20.1\, \text{mm}$ and height $h = 16.75\, \text{mm}$. | 1 |
| 6317 | Find the angle $ \alpha $ of a trapezoid if long base $a = 47.8\, \text{mm}$, short base $b = 46.59\, \text{mm}$ and height $h = 23.5\, \text{mm}$. | 1 |
| 6318 | Find the long base $ a $ of a trapezoid if long base $a = 470\, \text{cm}$, short base $b = 395\, \text{cm}$, side $c = 240\, \text{cm}$ and diagonal $d = 240\, \text{cm}$. | 1 |
| 6319 | Find the diagonal $ d $ of a trapezoid if long base $a = 470\, \text{cm}$, short base $b = 395\, \text{cm}$, side $c = 240\, \text{cm}$ and diagonal $d = 240\, \text{cm}$. | 1 |
| 6320 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and height $h = 6\, \text{mm}$. | 1 |
| 6321 | Find the height $ h $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and angle $\alpha = 75^o$. | 1 |
| 6322 | Find the height $ h $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and angle $\alpha = 15^o$. | 1 |
| 6323 | Find the side $ c $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and angle $\alpha = 75^o$. | 1 |
| 6324 | Find the height $ h $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and height $h = 6.2\, \text{mm}$. | 1 |
| 6325 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and height $h = 6.2\, \text{mm}$. | 1 |
| 6326 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and height $h = 6.21\, \text{mm}$. | 1 |
| 6327 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11.6\, \text{mm}$, short base $b = 8.2\, \text{mm}$ and height $h = 6.22\, \text{mm}$. | 1 |
| 6328 | Find the angle $ \alpha $ of a trapezoid if long base $a = 12.25\, \text{in}$, short base $b = 10\, \text{in}$ and height $h = 8.25\, \text{in}$. | 1 |
| 6329 | Find the long base $ a $ of a trapezoid if short base $b = 34.5\, \text{in}$, side $c = 34.5\, \text{in}$ and height $h = 34.5\, \text{in}$. | 1 |
| 6330 | Find the height $ h $ of a trapezoid if long base $a = 1.932\, \text{in}$, short base $b = 1.88\, \text{in}$ and angle $\beta = 76^o$. | 1 |
| 6331 | Find the height $ h $ of a trapezoid if long base $a = 1.62\, \text{in}$, short base $b = 1.88\, \text{in}$ and angle $\beta = 76^o$. | 1 |
| 6332 | Find the height $ h $ of a trapezoid if long base $a = 1.88\, \text{in}$, short base $b = 1.832\, \text{in}$ and angle $\alpha = 76^o$. | 1 |
| 6333 | Find the height $ h $ of a trapezoid if long base $a = 1.932\, \text{in}$, short base $b = 1.88\, \text{in}$ and angle $\alpha = 76^o$. | 1 |
| 6334 | Find the long base $ a $ of a trapezoid if side $c = 29\, \text{mm}$, height $h = 21\, \text{mm}$ and perimeter $P = 12\, \text{cm}$. | 1 |
| 6335 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, side $c = 36\, \text{mm}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 1 |
| 6336 | Find the long base $ a $ of a trapezoid if area $A = 100\, \text{cm}^2$. | 1 |
| 6337 | Find the area $ A $ of a trapezoid if long base $a = 60\, \text{cm}$, short base $b = 40\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 1 |
| 6338 | Find the height $ h $ of a trapezoid if long base $a = 60\, \text{cm}$, short base $b = 40\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 1 |
| 6339 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{cm}$, short base $b = 24\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 1 |
| 6340 | Find the height $ h $ of a trapezoid if long base $a = 42\, \text{cm}$, short base $b = 24\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 1 |
| 6341 | Find the height $ h $ of a trapezoid if long base $a = 50\, \text{cm}$, short base $b = 30\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 1 |
| 6342 | Find the height $ h $ of a trapezoid if long base $a = 50\, \text{cm}$, short base $b = 40\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 1 |
| 6343 | Find the height $ h $ of a trapezoid if long base $a = 70\, \text{cm}$, short base $b = 30\, \text{cm}$ and area $A = 100\, \text{cm}^2$. | 1 |
| 6344 | Find the long base $ a $ of a trapezoid if long base $a = 20.9\, \text{mm}$, short base $b = 20.1\, \text{mm}$ and height $h = 16.75\, \text{mm}$. | 1 |
| 6345 | Find the angle $ \alpha $ of a trapezoid if long base $a = 20.9\, \text{mm}$, short base $b = 20.1\, \text{mm}$ and height $h = 16.75\, \text{mm}$. | 1 |
| 6346 | Find the angle $ \alpha $ of a trapezoid if long base $a = 19.06\, \text{mm}$, short base $b = 18.08\, \text{mm}$ and height $h = 17\, \text{mm}$. | 1 |
| 6347 | Find the short base $ b $ of a trapezoid if long base $a = 5.6\, \text{ft}$, side $c = 1\, \text{ft}$ and height $h = 1\, \text{ft}$. | 1 |
| 6348 | Find the long base $ a $ of a trapezoid if long base $a = 32\, \text{ft}$, short base $b = 19\, \text{ft}$ and side $c = 19\, \text{ft}$. | 1 |
| 6349 | Find the long base $ a $ of a trapezoid if long base $a = 1.5\, \text{in}$, short base $b = 1\, \text{in}$ and angle $\alpha = 80^o$. | 1 |
| 6350 | Find the short base $ b $ of a trapezoid if long base $a = 26\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 1 |
