Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4551 | Find the short base $ b $ of a trapezoid if long base $a = 3.012\, \text{mm}$, angle $\alpha = 52.9^o$ and angle $\beta = 127^o$. | 2 |
| 4552 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
| 4553 | Find the long base $ a $ of a trapezoid if short base $b = 15\, \text{in}$, height $h = 6\, \text{mm}$ and angle $\alpha = 35^o$. | 2 |
| 4554 | Find the long base $ a $ of a trapezoid if long base $a = 4.634\, \text{mm}$, height $h = 12.3\, \text{mm}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 2 |
| 4555 | Find the short base $ b $ of a trapezoid if long base $a = 2.354\, \text{mm}$, height $h = 12.3\, \text{mm}$ and angle $\alpha = 68.5^o$. | 2 |
| 4556 | Find the long base $ a $ of a trapezoid if short base $b = 25\, \text{cm}$, height $h = 233\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 4557 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 28\, \text{in}$. | 2 |
| 4558 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, median $m = 100\, \text{mm}$, angle $\alpha = 158^o$ and angle $\beta = 22^o$. | 2 |
| 4559 | Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{cm}$, short base $b = 100\, \text{cm}$ and height $h = 100\, \text{cm}$. | 2 |
| 4560 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 15\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 4561 | Find the area $ A $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 15\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 4562 | Find the long base $ a $ of a trapezoid if long base $a = 187\, \text{mm}$, side $c = 31\, \text{mm}$ and angle $\alpha = 52^o$. | 2 |
| 4563 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, short base $b = 78\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 22^o$. | 2 |
| 4564 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{mm}$, short base $b = 78\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 157^o$. | 2 |
| 4565 | Find the diagonal $ d $ of a trapezoid if long base $a = 161\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 22^o$. | 2 |
| 4566 | Find the long base $ a $ of a trapezoid if long base $a = 90\, \text{mm}$, short base $b = 90\, \text{mm}$ and height $h = 100\, \text{mm}$. | 2 |
| 4567 | Find the long base $ a $ of a trapezoid if short base $b = 37\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4568 | Find the long base $ a $ of a trapezoid if short base $b = 77\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4569 | Find the long base $ a $ of a trapezoid if short base $b = 117\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4570 | Find the long base $ a $ of a trapezoid if short base $b = 157\, \text{cm}$, height $h = 20\, \text{cm}$ and angle $\beta = 135^o$. | 2 |
| 4571 | Find the angle $ \alpha $ of a trapezoid if long base $a = 16\, \text{cm}$, short base $b = 6\, \text{cm}$, side $c = 14\, \text{cm}$ and diagonal $d = 12\, \text{cm}$. | 2 |
| 4572 | Find the perimeter $ P $ of a trapezoid if long base $a = 5.3\, \text{m}$, short base $b = 2.5\, \text{m}$ and height $h = 0.35\, \text{m}$. | 2 |
| 4573 | Find the perimeter $ P $ of a trapezoid if long base $a = 5.38\, \text{m}$, short base $b = 2.5\, \text{m}$ and height $h = 0.35\, \text{m}$. | 2 |
| 4574 | Find the side $ c $ of a trapezoid if side $c = 8.245\, \text{in}$, height $h = 8\, \text{in}$, angle $\alpha = 76^o$ and angle $\beta = 114^o$. | 2 |
| 4575 | Find the long base $ a $ of a trapezoid if height $h = 8\, \text{in}$, angle $\alpha = 76^o$ and angle $\beta = 114^o$. | 2 |
| 4576 | Find the long base $ a $ of a trapezoid if long base $a = 4.05\, \text{mm}$, height $h = 0.65\, \text{mm}$ and area $A = 2.37\, \text{cm}^2$. | 2 |
| 4577 | Find the short base $ b $ of a trapezoid if long base $a = 4.05\, \text{mm}$, height $h = 0.65\, \text{mm}$ and area $A = 2.37\, \text{cm}^2$. | 2 |
| 4578 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 8\, \text{ft}$, height $h = 12\, \text{ft}$ and area $A = 180\, \text{ft}^2$. | 2 |
| 4579 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{cm}$, short base $b = 8\, \text{cm}$ and height $h = 9\, \text{cm}$. | 2 |
| 4580 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{in}$, side $c = 42\, \text{in}$ and height $h = 42\, \text{in}$. | 2 |
| 4581 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 4582 | Find the angle $ \alpha $ of a trapezoid if long base $a = 37\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 8\, \text{in}$. | 2 |
| 4583 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 12\, \text{in}$ and side $c = 25.5\, \text{in}$. | 2 |
| 4584 | Find the diagonal $ d $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 12\, \text{in}$ and side $c = 25.5\, \text{in}$. | 2 |
| 4585 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{ft}$, short base $b = 10\, \text{ft}$, side $c = 64\, \text{ft}$ and height $h = 60\, \text{ft}$. | 2 |
| 4586 | Find the long base $ a $ of a trapezoid if long base $a = 2.5\, \text{mm}$ and short base $b = 1.8\, \text{mm}$. | 2 |
| 4587 | Find the long base $ a $ of a trapezoid if long base $a = 2.5\, \text{mm}$, short base $b = 1.8\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4588 | Find the side $ c $ of a trapezoid if long base $a = 2.5\, \text{mm}$, short base $b = 1.8\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4589 | Find the long base $ a $ of a trapezoid if side $c = 76\, \text{mm}$. | 2 |
| 4590 | Find the long base $ a $ of a trapezoid if long base $a = 120\, \text{cm}$, side $c = 79\, \text{mm}$ and height $h = 79\, \text{cm}$. | 2 |
| 4591 | Find the short base $ b $ of a trapezoid if long base $a = 120\, \text{cm}$, side $c = 79\, \text{mm}$ and height $h = 79\, \text{cm}$. | 2 |
| 4592 | Find the long base $ a $ of a trapezoid if long base $a = 74.46\, \text{ft}$, short base $b = 20.54\, \text{ft}$, side $c = 38.04\, \text{ft}$, perimeter $P = 171.17\, \text{ft}$ and angle $\beta = 135^o$. | 2 |
| 4593 | Find the long base $ a $ of a trapezoid if long base $a = 74.46\, \text{ft}$, short base $b = 20.54\, \text{ft}$ and perimeter $P = 171.17\, \text{ft}$. | 2 |
| 4594 | Find the height $ h $ of a trapezoid if long base $a = 74.46\, \text{ft}$, short base $b = 20.54\, \text{ft}$ and side $c = 38.04\, \text{ft}$. | 2 |
| 4595 | Find the long base $ a $ of a trapezoid if long base $a = 418\, \text{mm}$, short base $b = 280\, \text{mm}$, side $c = 290\, \text{mm}$, diagonal $d = 560\, \text{mm}$ and height $h = 518\, \text{mm}$. | 2 |
| 4596 | Find the long base $ a $ of a trapezoid if long base $a = 418\, \text{mm}$, side $c = 290\, \text{mm}$ and height $h = 518\, \text{mm}$. | 2 |
| 4597 | Find the angle $ \alpha $ of a trapezoid if long base $a = 418\, \text{mm}$, side $c = 290\, \text{mm}$ and height $h = 518\, \text{mm}$. | 2 |
| 4598 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, side $c = 5\, \text{mm}$ and height $h = 2\, \text{mm}$. | 2 |
| 4599 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{cm}$, side $c = 5\, \text{cm}$ and height $h = 2\, \text{cm}$. | 2 |
| 4600 | Find the long base $ a $ of a trapezoid if long base $a = 68\, \text{in}$, short base $b = 36\, \text{in}$, height $h = 16\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
