Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 4001 | Find the long base $ a $ of a trapezoid if long base $a = 1.25\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 0.95\, \text{mm}$. | 2 |
| 4002 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, height $h = 0.95\, \text{mm}$ and angle $\alpha = 82^o$. | 2 |
| 4003 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, height $h = 0.95\, \text{mm}$ and angle $\alpha = 83^o$. | 2 |
| 4004 | Find the height $ h $ of a trapezoid if long base $a = 132\, \text{in}$, short base $b = 18\, \text{in}$ and side $c = 108\, \text{in}$. | 2 |
| 4005 | Find the angle $ \beta $ of a trapezoid if long base $a = 132\, \text{in}$, short base $b = 18\, \text{in}$ and side $c = 108\, \text{in}$. | 2 |
| 4006 | Find the long base $ a $ of a trapezoid if long base $a = 56\, \text{cm}$, short base $b = 40\, \text{cm}$ and height $h = 20\, \text{cm}$. | 2 |
| 4007 | Find the side $ c $ of a trapezoid if long base $a = 56\, \text{cm}$, short base $b = 40\, \text{cm}$ and height $h = 20\, \text{cm}$. | 2 |
| 4008 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 4\, \text{in}$, height $h = 12\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4009 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 4010 | Find the side $ c $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 4\, \text{in}$, height $h = 12\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 4011 | Find the long base $ a $ of a trapezoid if short base $b = 13\, \text{mm}$, height $h = 5\, \text{mm}$ and area $A = 45\, \text{mm}^2$. | 2 |
| 4012 | Find the long base $ a $ of a trapezoid if short base $b = 13\, \text{m}$, height $h = 5\, \text{m}$ and area $A = 45\, \text{mm}^2$. | 2 |
| 4013 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{mm}$, height $h = 20\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4014 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{mm}$, side $c = 49\, \text{mm}$, height $h = 20\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 4015 | Find the short base $ b $ of a trapezoid if long base $a = 28.3\, \text{in}$, height $h = 9.54\, \text{in}$ and angle $\alpha = 59.8172^o$. | 2 |
| 4016 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{in}$ and side $c = 22\, \text{in}$. | 2 |
| 4017 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 1\, \text{ft}$ and height $h = 0.5\, \text{ft}$. | 2 |
| 4018 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12.5\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 4019 | Find the side $ c $ of a trapezoid if long base $a = 28\, \text{in}$, short base $b = 12.5\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 4020 | Find the long base $ a $ of a trapezoid if long base $a = 282\, \text{mm}$, short base $b = 103\, \text{mm}$ and side $c = 131\, \text{mm}$. | 2 |
| 4021 | Find the height $ h $ of a trapezoid if long base $a = 282\, \text{mm}$, short base $b = 103\, \text{mm}$ and side $c = 131\, \text{mm}$. | 2 |
| 4022 | Find the height $ h $ of a trapezoid if long base $a = 282\, \text{cm}$, short base $b = 103\, \text{cm}$ and side $c = 131\, \text{cm}$. | 2 |
| 4023 | Find the long base $ a $ of a trapezoid if short base $b = 270\, \text{mm}$, height $h = 92\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 4024 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 2\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 4025 | Find the area $ A $ of a trapezoid if long base $a = 4\, \text{mm}$, side $c = 2\, \text{mm}$ and height $h = \sqrt{ 3 }\, \text{mm}$. | 2 |
| 4026 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, height $h = 5\, \text{mm}$, angle $\alpha = 5^o$ and angle $\beta = 5^o$. | 2 |
| 4027 | Find the long base $ a $ of a trapezoid if long base $a = 13\, \text{in}$, height $h = 5\, \text{in}$, angle $\alpha = 5^o$ and angle $\beta = 5^o$. | 2 |
| 4028 | Find the long base $ a $ of a trapezoid if short base $b = 2.8\, \text{in}$, side $c = 4.1\, \text{in}$ and height $h = 3.4\, \text{in}$. | 2 |
| 4029 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 23.5\, \text{in}$. | 2 |
| 4030 | Find the side $ c $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 20\, \text{in}$ and height $h = 23.5\, \text{in}$. | 2 |
| 4031 | Find the long base $ a $ of a trapezoid if short base $b = 79.25\, \text{in}$, side $c = 22.5\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
| 4032 | Find the long base $ a $ of a trapezoid if short base $b = 79\, \text{in}$ and height $h = 15.75\, \text{in}$. | 2 |
| 4033 | Find the short base $ b $ of a trapezoid if long base $a = 8\, \text{mm}$, height $h = 6.5\, \text{mm}$ and angle $\alpha = 75.01^o$. | 2 |
| 4034 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 20.5\, \text{in}$. | 2 |
| 4035 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 14\, \text{in}$ and height $h = 17.375\, \text{in}$. | 2 |
| 4036 | Find the long base $ a $ of a trapezoid if short base $b = 1500\, \text{mm}$, side $c = 2000\, \text{mm}$, angle $\alpha = 22^o$ and angle $\beta = 68^o$. | 2 |
| 4037 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{in}$ and short base $b = 8\, \text{in}$. | 2 |
| 4038 | Find the height $ h $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 22.5\, \text{in}$. | 2 |
| 4039 | Find the angle $ \alpha $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 22.5\, \text{in}$. | 2 |
| 4040 | Find the short base $ b $ of a trapezoid if long base $a = 2.25\, \text{in}$, height $h = 36\, \text{in}$ and angle $\alpha = 89.4316^o$. | 2 |
| 4041 | Find the long base $ a $ of a trapezoid if short base $b = 27.51\, \text{in}$, height $h = 1\, \text{in}$ and angle $\beta = 76.5^o$. | 2 |
| 4042 | Find the angle $ \alpha $ of a trapezoid if long base $a = 27.99\, \text{in}$, short base $b = 25.71\, \text{in}$ and height $h = 1\, \text{in}$. | 2 |
| 4043 | Find the short base $ b $ of a trapezoid if long base $a = 33\, \text{ft}$, side $c = 7\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 4044 | Find the short base $ b $ of a trapezoid if long base $a = 22\, \text{ft}$, side $c = 7\, \text{ft}$, diagonal $d = 20.68\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 4045 | Find the height $ h $ of a trapezoid if long base $a = 22\, \text{ft}$, side $c = 7\, \text{ft}$, diagonal $d = 20.68\, \text{ft}$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 2 |
| 4046 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 14.04^o$. | 2 |
| 4047 | Find the long base $ a $ of a trapezoid if short base $b = 24\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 4048 | Find the area $ A $ of a trapezoid if long base $a = 26\, \text{in}$, short base $b = 16\, \text{in}$, side $c = 7.071\, \text{in}$ and height $h = 5\, \text{in}$. | 2 |
| 4049 | Find the side $ c $ of a trapezoid if long base $a = 144\, \text{in}$, short base $b = 50\, \text{in}$ and height $h = 25.5\, \text{in}$. | 2 |
| 4050 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
