Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2451 | Find the area $ A $ of a trapezoid if long base $a = 30\, \text{ft}$ and angle $\alpha = 26.56^o$. | 2 |
| 2452 | Find the long base $ a $ of a trapezoid if height $h = 32\, \text{mm}$ and angle $\alpha = 65^o$. | 2 |
| 2453 | Find the long base $ a $ of a trapezoid if long base $a = 91\, \text{mm}$, height $h = 32\, \text{mm}$ and angle $\alpha = 65^o$. | 2 |
| 2454 | Find the height $ h $ of a trapezoid if median $m = 10\, \text{mm}$ and area $A = 300\, \text{mm}^2$. | 2 |
| 2455 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{ft}$, side $c = 14\, \text{ft}$, diagonal $d = 27.72\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2456 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{mm}$ and short base $b = 70\, \text{mm}$. | 2 |
| 2457 | Find the side $ c $ of a trapezoid if long base $a = 500\, \text{mm}$, short base $b = 300\, \text{mm}$ and height $h = 1200\, \text{mm}$. | 2 |
| 2458 | Find the long base $ a $ of a trapezoid if long base $a = 164\, \text{in}$, short base $b = 126\, \text{in}$ and height $h = 384\, \text{in}$. | 2 |
| 2459 | Find the long base $ a $ of a trapezoid if long base $a = 15.92\, \text{ft}$, height $h = 8.7871\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2460 | Find the perimeter $ P $ of a trapezoid if long base $a = 120\, \text{in}$, side $c = 72\, \text{in}$, angle $\alpha = 102^o$ and angle $\beta = 90^o$. | 2 |
| 2461 | Find the short base $ b $ of a trapezoid if long base $a = 15.92\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2462 | Find the short base $ b $ of a trapezoid if long base $a = 15.92\, \text{ft}$, height $h = 8.787\, \text{ft}$ and angle $\alpha = 60^o$. | 2 |
| 2463 | Find the area $ A $ of a trapezoid if long base $a = 15.35\, \text{ft}$, height $h = 160.527\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 2464 | Find the short base $ b $ of a trapezoid if long base $a = 184.2\, \text{in}$, height $h = 159.527\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 2465 | Find the long base $ a $ of a trapezoid if long base $a = 0.43\, \text{m}$, short base $b = 1.44\, \text{m}$, side $c = 14.8\, \text{m}$ and angle $\beta = 90^o$. | 2 |
| 2466 | Find the long base $ a $ of a trapezoid if long base $a = 1.1\, \text{m}$, short base $b = 1.44\, \text{m}$, side $c = 2.8\, \text{m}$ and angle $\beta = 90^o$. | 2 |
| 2467 | Find the long base $ a $ of a trapezoid if long base $a = 1.1\, \text{m}$, short base $b = 1.44\, \text{m}$, side $c = 2.8\, \text{m}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2468 | Find the long base $ a $ of a trapezoid if long base $a = 259\, \text{mm}$. | 2 |
| 2469 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{ft}$, side $c = 16.25\, \text{in}$ and height $h = 11.5\, \text{in}$. | 2 |
| 2470 | Find the angle $ \alpha $ of a trapezoid if long base $a = 153\, \text{mm}$, short base $b = 135\, \text{mm}$ and height $h = 111.4\, \text{mm}$. | 2 |
| 2471 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{ft}$, short base $b = 14\, \text{cm}$ and side $c = 9\, \text{cm}$. | 2 |
| 2472 | Find the long base $ a $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 36^o$. | 2 |
| 2473 | Find the short base $ b $ of a trapezoid if long base $a = 5.5\, \text{in}$, height $h = 0.75\, \text{in}$ and angle $\alpha = 54^o$. | 2 |
| 2474 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{in}$, angle $\alpha = 82^o$ and angle $\beta = 98^o$. | 2 |
| 2475 | Find the long base $ a $ of a trapezoid if height $h = 22\, \text{in}$, angle $\alpha = 98^o$ and angle $\beta = 82^o$. | 2 |
| 2476 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 3\, \text{mm}$. | 2 |
| 2477 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$, side $c = 4\, \text{mm}$ and diagonal $d = 4\, \text{mm}$. | 2 |
| 2478 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 2479 | Find the angle $ \beta $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 4\, \text{mm}$. | 2 |
| 2480 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 2481 | Find the angle $ \beta $ of a trapezoid if long base $a = 8819\, \text{mm}$, short base $b = 5500\, \text{mm}$ and height $h = 2400\, \text{mm}$. | 2 |
| 2482 | Find the angle $ \beta $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 2483 | Find the short base $ b $ of a trapezoid if long base $a = 7300\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\beta = 109^o$. | 2 |
| 2484 | Find the short base $ b $ of a trapezoid if long base $a = 9150\, \text{mm}$, height $h = 480\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 2485 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8820\, \text{mm}$, short base $b = 5500\, \text{mm}$, height $h = 2400\, \text{mm}$ and angle $\alpha = 71^o$. | 2 |
| 2486 | Find the short base $ b $ of a trapezoid if long base $a = 24.5\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 2487 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 2 |
| 2488 | Find the short base $ b $ of a trapezoid if long base $a = 18\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2489 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$, height $h = 1460\, \text{mm}$, area $A = 101.7\, \text{mm}^2$ and angle $\alpha = 78.3^o$. | 2 |
| 2490 | Find the long base $ a $ of a trapezoid if long base $a = 1555\, \text{mm}$, short base $b = 1250\, \text{mm}$ and angle $\alpha = 78.3^o$. | 2 |
| 2491 | Find the short base $ b $ of a trapezoid if long base $a = 5\, \text{mm}$, side $c = 3\, \text{mm}$ and diagonal $d = 2 \sqrt{ 6 }\, \text{mm}$. | 2 |
| 2492 | Find the long base $ a $ of a trapezoid if short base $b = 170\, \text{cm}$ and side $c = 190\, \text{cm}$. | 2 |
| 2493 | Find the area $ A $ of a trapezoid if long base $a = 3.14\, \text{m}$, short base $b = 0.6\, \text{m}$ and side $c = 6.517\, \text{m}$. | 2 |
| 2494 | Find the height $ h $ of a trapezoid if long base $a = 3.14\, \text{mm}$, short base $b = 0.6\, \text{mm}$ and side $c = 6.517\, \text{mm}$. | 2 |
| 2495 | Find the angle $ \beta $ of a trapezoid if long base $a = 105.5\, \text{mm}$, short base $b = 80\, \text{mm}$ and side $c = 37.9\, \text{mm}$. | 2 |
| 2496 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$. | 2 |
| 2497 | Find the long base $ a $ of a trapezoid if long base $a = 3987\, \text{mm}$ and short base $b = 2300\, \text{mm}$. | 2 |
| 2498 | Find the long base $ a $ of a trapezoid if short base $b = 120\, \text{mm}$, side $c = 90\, \text{mm}$ and median $m = 81.24\, \text{mm}$. | 2 |
| 2499 | Find the angle $ \beta $ of a trapezoid if long base $a = 14.31\, \text{mm}$, short base $b = 1.344\, \text{mm}$ and side $c = 10.477\, \text{mm}$. | 2 |
| 2500 | Find the angle $ \alpha $ of a trapezoid if long base $a = 10.596\, \text{mm}$, short base $b = 3.065\, \text{mm}$ and side $c = 10.559\, \text{mm}$. | 2 |
