Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4401 | Find the area $ A $ of a trapezoid if long base $a = 0.3\, \text{m}$, short base $b = 0.2\, \text{m}$ and height $h = 0.8\, \text{m}$. | 2 |
| 4402 | Find the angle $ \beta $ of a trapezoid if long base $a = 170\, \text{mm}$, short base $b = 75\, \text{mm}$ and side $c = 20\, \text{mm}$. | 2 |
| 4403 | Find the angle $ \beta $ of a trapezoid if long base $a = 37.5\, \text{mm}$, short base $b = 33.75\, \text{mm}$ and side $c = 7.5\, \text{mm}$. | 2 |
| 4404 | Find the short base $ b $ of a trapezoid if long base $a = 700\, \text{mm}$, height $h = 70\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4405 | Find the long base $ a $ of a trapezoid if short base $b = 700\, \text{mm}$, height $h = 70\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4406 | Find the long base $ a $ of a trapezoid if short base $b = 700\, \text{mm}$, height $h = 70\, \text{mm}$ and angle $\beta = 105^o$. | 2 |
| 4407 | Find the height $ h $ of a trapezoid if side $c = 15\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 4408 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 1\, \text{mm}$, side $c = 15\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 4409 | Find the angle $ \beta $ of a trapezoid if long base $a = 820\, \text{mm}$, short base $b = 700\, \text{mm}$ and height $h = 70\, \text{mm}$. | 2 |
| 4410 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 9\, \text{in}$ and side $c = 9\, \text{in}$. | 2 |
| 4411 | Find the height $ h $ of a trapezoid if short base $b = 12\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 4412 | Find the long base $ a $ of a trapezoid if long base $a = 104\, \text{mm}$, short base $b = 37.75\, \text{mm}$ and side $c = 58.95\, \text{mm}$. | 2 |
| 4413 | Find the angle $ \beta $ of a trapezoid if long base $a = 104\, \text{mm}$, short base $b = 37.75\, \text{mm}$ and side $c = 58.95\, \text{mm}$. | 2 |
| 4414 | Find the angle $ \beta $ of a trapezoid if short base $b = 14.67\, \text{mm}$, height $h = 58.95\, \text{mm}$ and angle $\alpha = 54^o$. | 2 |
| 4415 | Find the angle $ \alpha $ of a trapezoid if long base $a = 62.88\, \text{in}$, short base $b = 61.1875\, \text{mm}$ and side $c = 76.625\, \text{mm}$. | 2 |
| 4416 | Find the long base $ a $ of a trapezoid if long base $a = 5.862\, \text{mm}$, short base $b = 5.717\, \text{mm}$ and side $c = 1.468\, \text{mm}$. | 2 |
| 4417 | Find the short base $ b $ of a trapezoid if long base $a = 271\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 136^o$. | 2 |
| 4418 | Find the short base $ b $ of a trapezoid if long base $a = 168\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 136^o$. | 2 |
| 4419 | Find the long base $ a $ of a trapezoid if long base $a = 762\, \text{mm}$ and short base $b = 304.8\, \text{mm}$. | 2 |
| 4420 | Find the angle $ \beta $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 4421 | Find the angle $ \alpha $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 1.5\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 4422 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 6\, \text{mm}$ and area $A = 44\, \text{cm}^2$. | 2 |
| 4423 | Find the height $ h $ of a trapezoid if long base $a = 11\, \text{mm}$, short base $b = 6\, \text{mm}$ and area $A = 44\, \text{cm}^2$. | 2 |
| 4424 | Find the long base $ a $ of a trapezoid if long base $a = 11.1\, \text{m}$, side $c = 5\, \text{m}$ and height $h = 2.05\, \text{m}$. | 2 |
| 4425 | Find the short base $ b $ of a trapezoid if long base $a = 11.1\, \text{m}$, side $c = 5\, \text{m}$ and height $h = 2.05\, \text{m}$. | 2 |
| 4426 | Find the angle $ \alpha $ of a trapezoid if long base $a = 11.1\, \text{m}$, side $c = 5\, \text{m}$ and height $h = 2.05\, \text{m}$. | 2 |
| 4427 | Find the area $ A $ of a trapezoid if long base $a = 6\, \text{cm}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 4428 | Find the area $ A $ of a trapezoid if long base $a = 30\, \text{ft}$, short base $b = 13\, \text{ft}$ and side $c = 60\, \text{ft}$. | 2 |
| 4429 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{in}$, height $h = 18\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4430 | Find the area $ A $ of a trapezoid if short base $b = 140\, \text{ft}$, height $h = 15\, \text{ft}$ and angle $\beta = 61^o$. | 2 |
| 4431 | Find the long base $ a $ of a trapezoid if long base $a = 59\, \text{in}$, short base $b = 38.875\, \text{in}$, side $c = 24.8125\, \text{in}$, height $h = 24.8125\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4432 | Find the long base $ a $ of a trapezoid if long base $a = 9.385\, \text{in}$, short base $b = 8.063\, \text{in}$ and side $c = 4.75\, \text{in}$. | 2 |
| 4433 | Find the angle $ \beta $ of a trapezoid if long base $a = 9.385\, \text{in}$, short base $b = 8.063\, \text{in}$ and side $c = 4.75\, \text{in}$. | 2 |
| 4434 | Find the long base $ a $ of a trapezoid if short base $b = 28\, \text{in}$, side $c = 50\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4435 | Find the height $ h $ of a trapezoid if long base $a = 47.25\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 44^o$. | 2 |
| 4436 | Find the angle $ \alpha $ of a trapezoid if long base $a = 61.5\, \text{in}$, short base $b = 22.75\, \text{in}$ and side $c = 35.25\, \text{in}$. | 2 |
| 4437 | Find the median $ m $ of a trapezoid if long base $a = 61.5\, \text{in}$, short base $b = 22.75\, \text{in}$ and side $c = 35.25\, \text{in}$. | 2 |
| 4438 | Find the long base $ a $ of a trapezoid if long base $a = 121\, \text{mm}$, short base $b = 313\, \text{mm}$, side $c = 312\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4439 | Find the diagonal $ d $ of a trapezoid if long base $a = 121\, \text{mm}$, short base $b = 313\, \text{mm}$ and side $c = 312\, \text{mm}$. | 2 |
| 4440 | Find the long base $ a $ of a trapezoid if side $c = 10\, \text{mm}$ and median $m = 18\, \text{mm}$. | 2 |
| 4441 | Find the long base $ a $ of a trapezoid if side $c = 10\, \text{mm}$, median $m = 18\, \text{mm}$ and perimeter $P = 56\, \text{mm}$. | 2 |
| 4442 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 3\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 4443 | Find the side $ c $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 3\, \text{cm}$ and height $h = 3\, \text{cm}$. | 2 |
| 4444 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 180^o$. | 2 |
| 4445 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{in}$, height $h = 10\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 4446 | Find the long base $ a $ of a trapezoid if short base $b = 36\, \text{mm}$, side $c = 15\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 4447 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 30\, \text{in}$, side $c = 60\, \text{in}$ and diagonal $d = 60\, \text{in}$. | 2 |
| 4448 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 30\, \text{in}$, side $c = 60\, \text{in}$ and diagonal $d = 60\, \text{in}$. | 2 |
| 4449 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 26.4\, \text{ft}$, side $c = 35.1\, \text{ft}$ and diagonal $d = 35\, \text{ft}$. | 2 |
| 4450 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 36\, \text{in}$. | 2 |
