Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 551 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{m}$, short base $b = 4.5\, \text{m}$, side $c = 3.65\, \text{m}$ and angle $\alpha = 90^o$. | 5 |
| 552 | Find the short base $ b $ of a trapezoid if long base $a = 22.35\, \text{mm}$, height $h = 13.4\, \text{mm}$ and angle $\beta = 110^o$. | 5 |
| 553 | Find the perimeter $ P $ of a trapezoid if long base $a = 6\, \text{ft}$, short base $b = 2\, \text{ft}$ and height $h = 8\, \text{in}$. | 5 |
| 554 | Find the long base $ a $ of a trapezoid if long base $a = 55\, \text{ft}$, short base $b = 15\, \text{mm}$, side $c = 29\, \text{ft}$, height $h = 21\, \text{ft}$, area $A = 735\, \text{ft}^2$ and perimeter $P = 128\, \text{mm}$. | 5 |
| 555 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{in}$, side $c = 5.87\, \text{in}$ and height $h = 6\, \text{in}$. | 5 |
| 556 | Find the short base $ b $ of a trapezoid if long base $a = 10\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 5 |
| 557 | Find the side $ c $ of a trapezoid if long base $a = 10\, \text{in}$, height $h = 2\, \text{in}$ and angle $\alpha = 30^o$. | 5 |
| 558 | Find the short base $ b $ of a trapezoid if long base $a = 4.5\, \text{in}$, height $h = 1\, \text{in}$ and angle $\alpha = 72^o$. | 5 |
| 559 | Find the long base $ a $ of a trapezoid if long base $a = 200\, \text{mm}$, short base $b = 50\, \text{mm}$, side $c = 130\, \text{mm}$ and diagonal $d = 140\, \text{mm}$. | 5 |
| 560 | Find the diagonal $ d $ of a trapezoid if long base $a = 1250\, \text{mm}$, short base $b = 800\, \text{mm}$ and side $c = 936\, \text{mm}$. | 5 |
| 561 | Find the long base $ a $ of a trapezoid if side $c = 2.875\, \text{in}$. | 5 |
| 562 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = 4$ and side $c = 13$. | 5 |
| 563 | Find the long base $ a $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 5 |
| 564 | Find the side $ c $ of a trapezoid if long base $a = 18$ and short base $b = 6$. | 5 |
| 565 | Find the long base $ a $ of a trapezoid if long base $a = 30$, side $c = 10$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 5 |
| 566 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 19 }{ 16 }$, short base $b = \frac{ 7 }{ 8 }$ and height $h = \frac{ 9 }{ 2 }$. | 5 |
| 567 | Find the short base $ b $ of a trapezoid if long base $a = 20$, short base $b = 15$ and height $h = \frac{ 7 }{ 2 }$. | 5 |
| 568 | Find the long base $ a $ of a trapezoid if long base $a = 29$, height $h = 9$ and area $A = \frac{ 387 }{ 2 }$. | 5 |
| 569 | Find the height $ h $ of a trapezoid if long base $a = 48$, short base $b = 22$ and area $A = 218$. | 5 |
| 570 | Find the of a trapezoid if angle $\beta = 122^o$. | 5 |
| 571 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 5$ and height $h = 40$. | 5 |
| 572 | Find the short base $ b $ of a trapezoid if long base $a = 4$, height $h = \frac{ 143 }{ 10 }$ and area $A = \frac{ 3289 }{ 25 }$. | 5 |
| 573 | Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$. | 5 |
| 574 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1491 }{ 16 }$, short base $b = \frac{ 323 }{ 4 }$ and angle $\alpha = 30^o$. | 5 |
| 575 | Find the of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, short base $b = 3$ and height $h = 10$. | 5 |
| 576 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 12^o$. | 5 |
| 577 | Find the side $ c $ of a trapezoid if long base $a = \frac{ 29 }{ 4 }$, height $h = 8$ and angle $\alpha = 78^o$. | 5 |
| 578 | Find the long base $ a $ of a trapezoid if short base $b = 20$ and side $c = 40$. | 5 |
| 579 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 6$ and height $h = 4$. | 5 |
| 580 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 31 }{ 8 }$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 5 |
| 581 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\alpha = 75^o$. | 5 |
| 582 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 9$. | 5 |
| 583 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = \frac{ 24 }{ 5 }$. | 5 |
| 584 | Find the height $ h $ of a trapezoid if long base $a = 3$, short base $b = \frac{ 3 }{ 2 }$ and side $c = \frac{ 63 }{ 20 }$. | 5 |
| 585 | Find the of a trapezoid if long base $a = 200$, short base $b = 145$ and height $h = 111$. | 5 |
| 586 | Find the long base $ a $ of a trapezoid if short base $b = 5$, height $h = \frac{ 5 }{ 4 }$ and angle $\alpha = 45^o$. | 5 |
| 587 | Find the short base $ b $ of a trapezoid if long base $a = 4$, side $c = 2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 5 |
| 588 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1 }{ 25 }$, short base $b = \frac{ 27 }{ 1000 }$ and height $h = \frac{ 247 }{ 1000 }$. | 5 |
| 589 | Find the side $ c $ of a trapezoid if long base $a = 490$, short base $b = 100$ and angle $\alpha = 75^o$. | 5 |
| 590 | Find the of a trapezoid if long base $a = \frac{ 1199 }{ 20 }$, short base $b = \frac{ 597 }{ 10 }$ and side $c = \frac{ 9 }{ 20 }$. | 5 |
| 591 | Find the area $ A $ of a trapezoid if long base $a = 23$, short base $b = 15$ and side $c = \frac{ 1131 }{ 100 }$. | 5 |
| 592 | Find the area $ A $ of a trapezoid if long base $a = 32$, short base $b = 6$ and side $c = 15$. | 5 |
| 593 | Find the short base $ b $ of a trapezoid if long base $a = 26$, side $c = 6$ and angle $\beta = 120^o$. | 5 |
| 594 | Find the long base $ a $ of a trapezoid if long base $a = 164$, short base $b = \frac{ 782 }{ 5 }$, side $c = 54$, height $h = 164$ and perimeter $P = \frac{ 1972 }{ 5 }$. | 5 |
| 595 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$. | 5 |
| 596 | Find the height $ h $ of a trapezoid if short base $b = 18$, side $c = 11$ and angle $\beta = 45^o$. | 5 |
| 597 | Find the side $ c $ of a trapezoid if long base $a = 6$, short base $b = 3$ and side $c = 8$. | 5 |
| 598 | Find the short base $ b $ of a trapezoid if long base $a = 22$ and median $m = 19$. | 5 |
| 599 | Find the long base $ a $ of a trapezoid if short base $b = 11$, height $h = 8$ and area $A = 136$. | 5 |
| 600 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 5 |
