Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3301 | Find the side $ c $ of a trapezoid if long base $a = 1150\, \text{mm}$, short base $b = 675\, \text{mm}$ and height $h = 950\, \text{mm}$. | 2 |
| 3302 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 3303 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 3304 | Find the short base $ b $ of a trapezoid if side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 3305 | Find the long base $ a $ of a trapezoid if long base $a = 44.5\, \text{in}$, short base $b = 44.5\, \text{mm}$, side $c = 51\, \text{in}$, height $h = 51\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3306 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 45^o$. | 2 |
| 3307 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.21\, \text{in}$, short base $b = 0.1395\, \text{in}$ and side $c = 0.121\, \text{in}$. | 2 |
| 3308 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 5\, \text{mi}$ and side $c = 8\, \text{mi}$. | 2 |
| 3309 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 3\, \text{mi}$, side $c = 7\, \text{mi}$ and height $h = 5\, \text{mi}$. | 2 |
| 3310 | Find the long base $ a $ of a trapezoid if short base $b = 650\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 3311 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$ and median $m = 6.5\, \text{mm}$. | 2 |
| 3312 | Find the long base $ a $ of a trapezoid if long base $a = 490\, \text{dm}$, short base $b = 100\, \text{cm}$ and angle $\beta = 73^o$. | 2 |
| 3313 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 3314 | Find the perimeter $ P $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 3315 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 10.05\, \text{mm}$. | 2 |
| 3316 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 2\, \text{mm}$ and median $m = 3\, \text{mm}$. | 2 |
| 3317 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 2\, \text{mm}$. | 2 |
| 3318 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, short base $b = 59\, \text{mm}$, side $c = 27\, \text{mm}$, height $h = 14.9\, \text{mm}$, area $A = 161.665\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3319 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, height $h = 14.9\, \text{mm}$ and area $A = 161.665\, \text{mm}^2$. | 2 |
| 3320 | Find the long base $ a $ of a trapezoid if long base $a = 74.5\, \text{mm}$, short base $b = 82.5\, \text{mm}$, side $c = 82.5\, \text{mm}$ and diagonal $d = 82.5\, \text{mm}$. | 2 |
| 3321 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{m}$, short base $b = 3\, \text{m}$ and area $A = 24\, \text{mi}^2$. | 2 |
| 3322 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 30\, \text{mm}$. | 2 |
| 3323 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$ and angle $\alpha = 82.6^o$. | 2 |
| 3324 | Find the side $ c $ of a trapezoid if short base $b = 1.35\, \text{mm}$, height $h = 1.45\, \text{mm}$ and angle $\alpha = 82.6^o$. | 2 |
| 3325 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{cm}$ and angle $\alpha = 70^o$. | 2 |
| 3326 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 6\, \text{cm}$. | 2 |
| 3327 | Find the long base $ a $ of a trapezoid if long base $a = 49.5\, \text{mm}$, side $c = 13\, \text{mm}$, height $h = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 3328 | Find the long base $ a $ of a trapezoid if long base $a = 192\, \text{in}$, short base $b = 144\, \text{in}$ and height $h = 144\, \text{in}$. | 2 |
| 3329 | Find the long base $ a $ of a trapezoid if long base $a = 186\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3330 | Find the short base $ b $ of a trapezoid if long base $a = 19\, \text{mm}$. | 2 |
| 3331 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 3332 | Find the long base $ a $ of a trapezoid if long base $a = 5 \sqrt{ 27 }\, \text{mm}$ and short base $b = 3 \sqrt{ 12 }\, \text{mm}$. | 2 |
| 3333 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 30^o$. | 2 |
| 3334 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{km}$ and short base $b = 3\, \text{cm}$. | 2 |
| 3335 | Find the long base $ a $ of a trapezoid if short base $b = 1830\, \text{mm}$, side $c = 750\, \text{mm}$, diagonal $d = 2464\, \text{mm}$ and angle $\beta = 141^o$. | 2 |
| 3336 | Find the long base $ a $ of a trapezoid if height $h = 7\, \text{in}$ and area $A = 35.5\, \text{in}^2$. | 2 |
| 3337 | Find the side $ c $ of a trapezoid if height $h = 3.98\, \text{ft}$, angle $\alpha = 58^o$ and angle $\beta = 127^o$. | 2 |
| 3338 | Find the short base $ b $ of a trapezoid if short base $b = 38\, \text{in}$, side $c = 14\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 3339 | Find the short base $ b $ of a trapezoid if short base $b = 38\, \text{in}$, side $c = 14\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 3340 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{in}$, height $h = 14\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3341 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{in}$, height $h = 14\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3342 | Find the short base $ b $ of a trapezoid if long base $a = 38\, \text{in}$, height $h = 14\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3343 | Find the long base $ a $ of a trapezoid if long base $a = 29.25\, \text{in}$ and side $c = 8.625\, \text{in}$. | 2 |
| 3344 | Find the long base $ a $ of a trapezoid if short base $b = 28\, \text{mm}$ and side $c = 20\, \text{mm}$. | 2 |
| 3345 | Find the long base $ a $ of a trapezoid if long base $a = 63\, \text{in}$, short base $b = 48\, \text{in}$ and diagonal $d = 14\, \text{in}$. | 2 |
| 3346 | Find the short base $ b $ of a trapezoid if long base $a = 44\, \text{ft}$, side $c = 20.5\, \text{ft}$ and height $h = 15\, \text{ft}$. | 2 |
| 3347 | Find the side $ c $ of a trapezoid if long base $a = 200\, \text{ft}$, height $h = 30\, \text{ft}$ and angle $\alpha = 5^o$. | 2 |
| 3348 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{ft}$, side $c = 4\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3349 | Find the side $ c $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 150\, \text{mm}$, height $h = 30\, \text{mm}$ and angle $\alpha = 5^o$. | 2 |
| 3350 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, height $h = 2\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
