Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 6101 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 103 }{ 4 }\, \text{cm}$, side $c = 15\, \text{cm}$ and angle $\beta = 5.9^o$. | 2 |
| 6102 | Find the short base $ b $ of a trapezoid if long base $a = 116\, \text{mm}$, short base $b = 66\, \text{mm}$ and side $c = 36\, \text{mm}$. | 2 |
| 6103 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{cm}$, height $h = 4\, \text{cm}$ and angle $\beta = 113.0255^o$. | 2 |
| 6104 | Find the long base $ a $ of a trapezoid if long base $a = 51\, \text{in}$, short base $b = 24\, \text{mm}$, area $A = 11912.5\, \text{in}^2$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6105 | Find the long base $ a $ of a trapezoid if long base $a = 51\, \text{in}$, short base $b = 24\, \text{in}$, side $c = 51\, \text{in}$, height $h = 51\, \text{in}$, area $A = 1912.5\, \text{in}^2$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 6106 | Find the short base $ b $ of a trapezoid if long base $a = 520\, \text{cm}$, side $c = 320\, \text{cm}$ and height $h = 290\, \text{cm}$. | 2 |
| 6107 | Find the short base $ b $ of a trapezoid if long base $a = 520\, \text{cm}$, side $c = 320\, \text{cm}$, height $h = 290\, \text{cm}$ and angle $\alpha = 90^o$. | 2 |
| 6108 | Find the long base $ a $ of a trapezoid if side $c = 65\, \text{mm}$, diagonal $d = 420\, \text{mm}$ and height $h = 155\, \text{mm}$. | 2 |
| 6109 | Find the side $ c $ of a trapezoid if long base $a = 56.5\, \text{ft}$, short base $b = 55\, \text{ft}$ and height $h = 21\, \text{ft}$. | 2 |
| 6110 | Find the side $ c $ of a trapezoid if short base $b = 4\, \text{mm}$, height $h = 5\, \text{mm}$ and area $A = 8\, \text{mm}^2$. | 2 |
| 6111 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 12\, \text{mm}$ and side $c = 10\, \text{mm}$. | 2 |
| 6112 | Find the long base $ a $ of a trapezoid if long base $a = 28\, \text{mm}$, short base $b = 14\, \text{mm}$ and side $c = 19\, \text{mm}$. | 2 |
| 6113 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{in}$, short base $b = 6\, \text{in}$ and height $h = 6\, \text{in}$. | 2 |
| 6114 | Find the long base $ a $ of a trapezoid if short base $b = 354\, \text{mm}$, height $h = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 6115 | Find the short base $ b $ of a trapezoid if long base $a = 80\, \text{mm}$, height $h = 50\, \text{mm}$ and angle $\beta = 110^o$. | 2 |
| 6116 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, side $c = 8\, \text{ft}$, height $h = 8\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 75^o$. | 2 |
| 6117 | Find the long base $ a $ of a trapezoid if angle $\alpha = 55^o$ and angle $\beta = 125^o$. | 2 |
| 6118 | Find the long base $ a $ of a trapezoid if long base $a = 16.875\, \text{in}$ and short base $b = 12.25\, \text{in}$. | 2 |
| 6119 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{in}$, short base $b = 8.5\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 6120 | Find the side $ c $ of a trapezoid if long base $a = 2\, \text{mm}$, short base $b = 1\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
| 6121 | Find the long base $ a $ of a trapezoid if long base $a = 5.9\, \text{cm}$, side $c = 3.6\, \text{cm}$ and height $h = 4.8\, \text{cm}$. | 2 |
| 6122 | Find the long base $ a $ of a trapezoid if long base $a = 580\, \text{mm}$, short base $b = 380\, \text{mm}$, side $c = 1230\, \text{mm}$ and diagonal $d = 1317\, \text{mm}$. | 2 |
| 6123 | Find the height $ h $ of a trapezoid if long base $a = 580\, \text{mm}$, short base $b = 380\, \text{mm}$, side $c = 1230\, \text{mm}$ and diagonal $d = 1317\, \text{mm}$. | 2 |
| 6124 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 24\, \text{mm}$ and height $h = 36\, \text{mm}$. | 2 |
| 6125 | Find the side $ c $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 36\, \text{in}$. | 2 |
| 6126 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{ft}$, height $h = 1.5\, \text{ft}$ and angle $\beta = 120^o$. | 2 |
| 6127 | Find the long base $ a $ of a trapezoid if long base $a = 11\, \text{in}$, short base $b = 8\, \text{in}$ and side $c = 10\, \text{in}$. | 2 |
| 6128 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6129 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 6130 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 3.6\, \text{cm}$ and height $h = 6\, \text{cm}$. | 2 |
| 6131 | Find the short base $ b $ of a trapezoid if long base $a = 28.875\, \text{in}$, angle $\alpha = 80.691^o$ and angle $\beta = 99.309^o$. | 2 |
| 6132 | Find the short base $ b $ of a trapezoid if long base $a = 28.875\, \text{in}$, side $c = 17.227\, \text{in}$, height $h = 17\, \text{in}$, angle $\alpha = 80.691^o$ and angle $\beta = 99.309^o$. | 2 |
| 6133 | Find the short base $ b $ of a trapezoid if long base $a = 28.875\, \text{in}$, angle $\alpha = 80.691^o$ and angle $\beta = 99.309^o$. | 2 |
| 6134 | Find the long base $ a $ of a trapezoid if long base $a = 120\, \text{in}$, short base $b = 3\, \text{in}$ and height $h = 64\, \text{in}$. | 2 |
| 6135 | Find the side $ c $ of a trapezoid if long base $a = 44\, \text{mm}$, short base $b = 12\, \text{mm}$ and height $h = 16\, \text{mm}$. | 2 |
| 6136 | Find the angle $ \alpha $ of a trapezoid if long base $a = 120\, \text{in}$, short base $b = 3\, \text{in}$ and side $c = 64\, \text{in}$. | 2 |
| 6137 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{in}$, side $c = 16\, \text{in}$, height $h = 6.4892\, \text{in}$ and angle $\alpha = 23.927^o$. | 2 |
| 6138 | Find the long base $ a $ of a trapezoid if short base $b = 3\, \text{in}$, side $c = 16\, \text{in}$ and height $h = 6.4892\, \text{in}$. | 2 |
| 6139 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{cm}$, short base $b = 2\, \text{cm}$ and diagonal $d = 11.4\, \text{cm}$. | 2 |
| 6140 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{cm}$, short base $b = 2\, \text{cm}$ and diagonal $d = 11.4\, \text{cm}$. | 2 |
| 6141 | Find the long base $ a $ of a trapezoid if height $h = 29\, \text{in}$, angle $\alpha = 22.62^o$ and angle $\beta = 90^o$. | 2 |
| 6142 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 6143 | Find the area $ A $ of a trapezoid if long base $a = 4.4641\, \text{mm}$, short base $b = 1\, \text{mm}$ and side $c = 2\, \text{mm}$. | 2 |
| 6144 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{m}$, height $h = 10\, \text{m}$ and angle $\beta = 154^o$. | 2 |
| 6145 | Find the short base $ b $ of a trapezoid if long base $a = 200\, \text{m}$, short base $b = 150\, \text{m}$ and angle $\beta = 170.5^o$. | 2 |
| 6146 | Find the height $ h $ of a trapezoid if long base $a = 200\, \text{m}$, short base $b = 150\, \text{m}$ and angle $\beta = 170.5^o$. | 2 |
| 6147 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1.19\, \text{mm}$, short base $b = 0.833\, \text{mm}$ and height $h = 1.71\, \text{mm}$. | 2 |
| 6148 | Find the angle $ \beta $ of a trapezoid if long base $a = 1.15\, \text{mm}$, short base $b = 0.738\, \text{mm}$ and height $h = 1.63\, \text{mm}$. | 2 |
| 6149 | Find the angle $ \alpha $ of a trapezoid if long base $a = 1.15\, \text{mm}$, short base $b = 0.738\, \text{mm}$ and height $h = 1.63\, \text{mm}$. | 2 |
| 6150 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{mm}$, short base $b = 17.5\, \text{mm}$, side $c = 23\, \text{mm}$ and diagonal $d = 23\, \text{mm}$. | 2 |
