Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 5101 | Find the long base $ a $ of a trapezoid if long base $a = 26.5\, \text{mm}$, short base $b = 10.6\, \text{mm}$, side $c = 21.9\, \text{mm}$ and height $h = 21.2\, \text{mm}$. | 2 |
| 5102 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 11\, \text{mm}$ and height $h = 9\, \text{mm}$. | 2 |
| 5103 | Find the area $ A $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 11\, \text{mm}$ and height $h = 9\, \text{mm}$. | 2 |
| 5104 | Find the short base $ b $ of a trapezoid if long base $a = 21\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5105 | Find the angle $ \beta $ of a trapezoid if long base $a = 21\, \text{ft}$, short base $b = 5\, \text{ft}$ and angle $\alpha = 60^o$. | 2 |
| 5106 | Find the height $ h $ of a trapezoid if long base $a = 21\, \text{ft}$, short base $b = 5\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 5107 | Find the long base $ a $ of a trapezoid if long base $a = 106.5\, \text{in}$, short base $b = 46\, \text{in}$, side $c = 60\, \text{in}$ and diagonal $d = 60\, \text{in}$. | 2 |
| 5108 | Find the long base $ a $ of a trapezoid if long base $a = 106.5\, \text{in}$, short base $b = 46\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 5109 | Find the angle $ \beta $ of a trapezoid if long base $a = 106.5\, \text{in}$, short base $b = 46\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 5110 | Find the short base $ b $ of a trapezoid if long base $a = 6\, \text{km}$, height $h = 1400\, \text{m}$ and area $A = 7\, \text{km}^2$. | 2 |
| 5111 | Find the long base $ a $ of a trapezoid if long base $a = 16.33\, \text{mm}$, height $h = 7.9\, \text{mm}$ and angle $\alpha = 10^o$. | 2 |
| 5112 | Find the short base $ b $ of a trapezoid if long base $a = 16.33\, \text{mm}$, height $h = 7.9\, \text{mm}$ and angle $\alpha = 10^o$. | 2 |
| 5113 | Find the side $ c $ of a trapezoid if long base $a = 16.33\, \text{mm}$, height $h = 7.9\, \text{mm}$ and angle $\alpha = 170^o$. | 2 |
| 5114 | Find the long base $ a $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 20\, \text{mm}$, side $c = 6\, \text{mm}$ and area $A = 26\, \text{mm}^2$. | 2 |
| 5115 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 20\, \text{mm}$, side $c = 6\, \text{mm}$ and area $A = 26\, \text{mm}^2$. | 2 |
| 5116 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$ and height $h = 0.25\, \text{mm}$. | 2 |
| 5117 | Find the long base $ a $ of a trapezoid if long base $a = 65\, \text{m}$, short base $b = 50\, \text{mm}$ and side $c = 40\, \text{mm}$. | 2 |
| 5118 | Find the height $ h $ of a trapezoid if long base $a = 65\, \text{ft}$, short base $b = 50\, \text{ft}$ and side $c = 40\, \text{ft}$. | 2 |
| 5119 | Find the long base $ a $ of a trapezoid if short base $b = 7\, \text{mm}$, height $h = 3\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 5120 | Find the long base $ a $ of a trapezoid if long base $a = 4.32\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 2.34\, \text{mm}$. | 2 |
| 5121 | Find the side $ c $ of a trapezoid if long base $a = 100\, \text{mm}$, short base $b = 50\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 5122 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 6\, \text{mm}$, height $h = 6\, \text{mm}$ and median $m = 3\, \text{mm}$. | 2 |
| 5123 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 18.11\, \text{mm}$. | 2 |
| 5124 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{mm}$ and short base $b = 6\, \text{mm}$. | 2 |
| 5125 | Find the side $ c $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 6\, \text{mm}$. | 2 |
| 5126 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 3.5\, \text{ft}$ and height $h = 3\, \text{ft}$. | 2 |
| 5127 | Find the short base $ b $ of a trapezoid if long base $a = 150\, \text{mm}$, side $c = 100\, \text{mm}$ and height $h = 90\, \text{mm}$. | 2 |
| 5128 | Find the angle $ \alpha $ of a trapezoid if long base $a = 515\, \text{mm}$, short base $b = 540\, \text{mm}$ and side $c = 685\, \text{mm}$. | 2 |
| 5129 | Find the angle $ \beta $ of a trapezoid if long base $a = 515\, \text{mm}$, short base $b = 540\, \text{mm}$ and side $c = 685\, \text{mm}$. | 2 |
| 5130 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 7\, \text{mm}$ and height $h = 1\, \text{mm}$. | 2 |
| 5131 | Find the angle $ \alpha $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and height $h = 18.1789\, \text{ft}$. | 2 |
| 5132 | Find the height $ h $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and angle $\alpha = 15^o$. | 2 |
| 5133 | Find the height $ h $ of a trapezoid if long base $a = 842.88\, \text{in}$, short base $b = 660\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 5134 | Find the height $ h $ of a trapezoid if long base $a = 843\, \text{in}$, short base $b = 660\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 5135 | Find the height $ h $ of a trapezoid if long base $a = 842.75\, \text{in}$, short base $b = 660\, \text{in}$ and angle $\alpha = 75^o$. | 2 |
| 5136 | Find the angle $ \alpha $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and height $h = 20\, \text{ft}$. | 2 |
| 5137 | Find the angle $ \alpha $ of a trapezoid if long base $a = 18.1789\, \text{ft}$, short base $b = 70.2396\, \text{ft}$ and height $h = 22\, \text{ft}$. | 2 |
| 5138 | Find the angle $ \alpha $ of a trapezoid if long base $a = 70.2396\, \text{ft}$, short base $b = 55\, \text{ft}$ and height $h = 43.9877\, \text{ft}$. | 2 |
| 5139 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 3\, \text{ft}$ and side $c = 3.2798\, \text{ft}$. | 2 |
| 5140 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{ft}$, short base $b = 3\, \text{ft}$, side $c = 3.2798\, \text{ft}$ and height $h = 2.916\, \text{ft}$. | 2 |
| 5141 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{ft}$, short base $b = 12\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 5142 | Find the diagonal $ d $ of a trapezoid if long base $a = 17\, \text{ft}$, short base $b = 12\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 5143 | Find the diagonal $ d $ of a trapezoid if long base $a = 17\, \text{ft}$, short base $b = 12\, \text{ft}$ and side $c = 8\, \text{ft}$. | 2 |
| 5144 | Find the height $ h $ of a trapezoid if long base $a = 17\, \text{ft}$, short base $b = 12\, \text{ft}$ and side $c = 8\, \text{ft}$. | 2 |
| 5145 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 5146 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{m}$, short base $b = 40\, \text{m}$, height $h = 30\, \text{m}$ and area $A = 1350\, \text{m}^2$. | 2 |
| 5147 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{m}$, short base $b = 40\, \text{m}$ and area $A = 1350\, \text{m}^2$. | 2 |
| 5148 | Find the side $ c $ of a trapezoid if long base $a = 50\, \text{m}$, short base $b = 40\, \text{m}$ and height $h = 30\, \text{m}$. | 2 |
| 5149 | Find the height $ h $ of a trapezoid if long base $a = 16\, \text{ft}$, short base $b = 10\, \text{ft}$ and side $c = 68\, \text{in}$. | 2 |
| 5150 | Find the long base $ a $ of a trapezoid if long base $a = 5.1\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 3\, \text{mm}$. | 2 |
