Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 3401 | Find the angle $ \alpha $ of a trapezoid if short base $b = 47.5\, \text{in}$, side $c = 36.25\, \text{in}$ and height $h = 31.25\, \text{in}$. | 2 |
| 3402 | Find the angle $ \alpha $ of a trapezoid if short base $b = 47.5\, \text{in}$, side $c = 36\, \text{in}$ and height $h = 31.25\, \text{in}$. | 2 |
| 3403 | Find the perimeter $ P $ of a trapezoid if long base $a = 1.4\, \text{in}$, short base $b = 0.81\, \text{in}$ and height $h = 0.24\, \text{in}$. | 2 |
| 3404 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{mm}$, side $c = 12\, \text{mm}$, angle $\alpha = 25^o$ and angle $\beta = 155^o$. | 2 |
| 3405 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 4\, \text{ft}$. | 2 |
| 3406 | Find the angle $ \alpha $ of a trapezoid if long base $a = 33.25\, \text{mm}$, short base $b = 32.32\, \text{mm}$ and height $h = 18\, \text{mm}$. | 2 |
| 3407 | Find the angle $ \alpha $ of a trapezoid if long base $a = 33.4\, \text{mm}$, short base $b = 32.5\, \text{mm}$ and height $h = 18\, \text{mm}$. | 2 |
| 3408 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, height $h = 0.358\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 3409 | Find the short base $ b $ of a trapezoid if short base $b = 59\, \text{mm}$, side $c = 27\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3410 | Find the long base $ a $ of a trapezoid if short base $b = 6.25\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 3411 | Find the long base $ a $ of a trapezoid if long base $a = 0.495\, \text{in}$, height $h = 0.125\, \text{in}$ and angle $\alpha = 65^o$. | 2 |
| 3412 | Find the short base $ b $ of a trapezoid if long base $a = 0.495\, \text{in}$, height $h = 0.125\, \text{in}$ and angle $\alpha = 65^o$. | 2 |
| 3413 | Find the side $ c $ of a trapezoid if long base $a = 18\, \text{in}$ and short base $b = 8\, \text{in}$. | 2 |
| 3414 | Find the long base $ a $ of a trapezoid if long base $a = 1771\, \text{mm}$, short base $b = 1270\, \text{mm}$ and height $h = 1066.5\, \text{mm}$. | 2 |
| 3415 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 11.125\, \text{in}$ and height $h = 25.5\, \text{in}$. | 2 |
| 3416 | Find the long base $ a $ of a trapezoid if long base $a = 69.125\, \text{in}$ and side $c = 3.75\, \text{in}$. | 2 |
| 3417 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 22\, \text{mm}$. | 2 |
| 3418 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 22\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3419 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 22\, \text{mm}$. | 2 |
| 3420 | Find the angle $ \beta $ of a trapezoid if long base $a = 15\, \text{mm}$, side $c = 22\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 3421 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{in}$, side $c = 22\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 3422 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3423 | Find the long base $ a $ of a trapezoid if long base $a = 42.5\, \text{ft}$, short base $b = 41.5\, \text{ft}$ and height $h = 16\, \text{ft}$. | 2 |
| 3424 | Find the long base $ a $ of a trapezoid if long base $a = 138\, \text{cm}$, short base $b = 127\, \text{cm}$ and side $c = 11.5\, \text{cm}$. | 2 |
| 3425 | Find the perimeter $ P $ of a trapezoid if long base $a = 50\, \text{ft}$, height $h = 30\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 3426 | Find the long base $ a $ of a trapezoid if long base $a = 2.0833\, \text{ft}$, short base $b = 1.6667\, \text{ft}$ and height $h = 25\, \text{ft}$. | 2 |
| 3427 | Find the long base $ a $ of a trapezoid if short base $b = 16.75\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3428 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 3429 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 30\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3430 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 30\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3431 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 30\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 3432 | Find the perimeter $ P $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 9\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 3433 | Find the height $ h $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 42\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 3434 | Find the area $ A $ of a trapezoid if long base $a = 3.75\, \text{mm}$, short base $b = 6.25\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 3435 | Find the area $ A $ of a trapezoid if long base $a = 3.75\, \text{mm}$, short base $b = 6.25\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 3436 | Find the area $ A $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 3437 | Find the perimeter $ P $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 3438 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{ft}$, side $c = 16\, \text{ft}$, angle $\alpha = 15^o$ and angle $\beta = 105^o$. | 2 |
| 3439 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{mm}$ and short base $b = 5\, \text{mm}$. | 2 |
| 3440 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$, side $c = 24\, \text{in}$, diagonal $d = 24\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3441 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$, side $c = 24\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 3442 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 3443 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 3444 | Find the height $ h $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 2 |
| 3445 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 2 |
| 3446 | Find the long base $ a $ of a trapezoid if short base $b = 166.065\, \text{m}$, area $A = 4460.8438\, \text{m}^2$ and angle $\alpha = 90^o$. | 2 |
| 3447 | Find the long base $ a $ of a trapezoid if short base $b = 16.75\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 3448 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 3449 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 3450 | Find the long base $ a $ of a trapezoid if long base $a = 63.77\, \text{ft}$, short base $b = 116.4\, \text{ft}$ and side $c = 125\, \text{ft}$. | 2 |
