Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 101 | Find the long base $ a $ of a trapezoid if long base $a = 10\, \text{mm}$, short base $b = 6\, \text{mm}$ and height $h = 8\, \text{mm}$. | 9 |
| 102 | Find the area $ A $ of a trapezoid if long base $a = 10\, \text{mm}$, side $c = 5\, \text{mm}$ and diagonal $d = \sqrt{ 75 }\, \text{mm}$. | 9 |
| 103 | Find the long base $ a $ of a trapezoid if long base $a = 8.25\, \text{mm}$, short base $b = 4.125\, \text{cm}$ and side $c = 3\, \text{cm}$. | 9 |
| 104 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 29\, \text{cm}$ and height $h = 24\, \text{cm}$. | 9 |
| 105 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 12.5\, \text{in}$. | 9 |
| 106 | Find the short base $ b $ of a trapezoid if long base $a = 11$, height $h = 4$ and angle $\beta = \frac{ 226051 }{ 2000 }^o$. | 9 |
| 107 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 18 }{ 5 }$ and angle $\alpha = 60^o$. | 9 |
| 108 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{cm}$, height $h = 10\, \text{cm}$ and angle $\beta = 45^o$. | 9 |
| 109 | Find the long base $ a $ of a trapezoid if long base $a = 71.75\, \text{in}$, short base $b = 66.25\, \text{in}$ and height $h = 81.25\, \text{in}$. | 9 |
| 110 | Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$. | 9 |
| 111 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 10\, \text{cm}$, side $c = 13\, \text{cm}$ and height $h = 12\, \text{cm}$. | 9 |
| 112 | Find the short base $ b $ of a trapezoid if long base $a = 11$, side $c = 6$ and height $h = 4$. | 9 |
| 113 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = \frac{ 18 }{ 5 }$ and height $h = 6$. | 8 |
| 114 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 69 }{ 20 }$, short base $b = \frac{ 9 }{ 5 }$ and side $c = \frac{ 42 }{ 5 }$. | 8 |
| 115 | Find the long base $ a $ of a trapezoid if side $c = 41\, \text{cm}$, height $h = 40\, \text{cm}$ and median $m = 45\, \text{cm}$. | 8 |
| 116 | Find the long base $ a $ of a trapezoid if short base $b = 0.5\, \text{in}$, angle $\alpha = 55^o$ and angle $\beta = 145^o$. | 8 |
| 117 | Find the long base $ a $ of a trapezoid if long base $a = 1600\, \text{mm}$, short base $b = 1200\, \text{mm}$ and height $h = 740\, \text{mm}$. | 8 |
| 118 | Find the long base $ a $ of a trapezoid if long base $a = 6.625\, \text{cm}$, height $h = 23.875\, \text{cm}$ and angle $\alpha = 84^o$. | 8 |
| 119 | Find the area $ A $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 8\, \text{mm}$ and side $c = 5\, \text{mm}$. | 8 |
| 120 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 8\, \text{cm}$, side $c = 4 \sqrt{ 3 }\, \text{cm}$ and angle $\alpha = 60^o$. | 8 |
| 121 | Find the long base $ a $ of a trapezoid if short base $b = 16\, \text{ft}$, side $c = 10\, \text{ft}$, height $h = 8\, \text{ft}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 8 |
| 122 | Find the side $ c $ of a trapezoid if long base $a = 39.5\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 54\, \text{in}$. | 8 |
| 123 | Find the height $ h $ of a trapezoid if long base $a = 35\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 15.25\, \text{mm}$. | 8 |
| 124 | Find the long base $ a $ of a trapezoid if short base $b = 20\, \text{cm}$, height $h = 69.6\, \text{cm}$ and angle $\alpha = 75^o$. | 8 |
| 125 | Find the of a trapezoid if long base $a = 1895$, short base $b = 1126$ and height $h = 698$. | 8 |
| 126 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 21$, side $c = 40$ and diagonal $d = 39$. | 8 |
| 127 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mm}$, short base $b = 15\, \text{cm}$, side $c = 5\, \text{cm}$, height $h = 5\, \text{cm}$, area $A = 90\, \text{cm}$ and angle $\beta = 90^o$. | 8 |
| 128 | Find the long base $ a $ of a trapezoid if long base $a = 17.25\, \text{cm}$, side $c = 16.5\, \text{cm}$ and height $h = 16.5\, \text{cm}$. | 8 |
| 129 | Find the long base $ a $ of a trapezoid if long base $a = 0.381\, \text{cm}$, height $h = 0.2032\, \text{cm}$ and angle $\alpha = 60^o$. | 8 |
| 130 | Find the angle $ \alpha $ of a trapezoid if long base $a = 46\, \text{in}$, short base $b = 22\, \text{in}$ and height $h = 10\, \text{in}$. | 8 |
| 131 | Find the short base $ b $ of a trapezoid if long base $a = 55.75\, \text{in}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 8 |
| 132 | Find the height $ h $ of a trapezoid if long base $a = 24$, short base $b = 18$ and side $c = 15$. | 8 |
| 133 | Find the long base $ a $ of a trapezoid if long base $a = 22$ and median $m = 19$. | 8 |
| 134 | Find the long base $ a $ of a trapezoid if height $h = 20\, \text{cm}$ and area $A = 140\, \text{cm}^2$. | 8 |
| 135 | Find the height $ h $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 8 |
| 136 | Find the of a trapezoid if long base $a = \frac{ 51 }{ 2 }$, short base $b = 22$ and side $c = 22$. | 8 |
| 137 | Find the long base $ a $ of a trapezoid if short base $b = 11.9\, \text{cm}$, height $h = 3.6\, \text{cm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 8 |
| 138 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{yd}$, short base $b = 10\, \text{cm}$ and height $h = 3\, \text{cm}$. | 8 |
| 139 | Find the area $ A $ of a trapezoid if long base $a = 910$, short base $b = 500$ and side $c = 477.0327$. | 8 |
| 140 | Find the long base $ a $ of a trapezoid if long base $a = 3\, \text{m}$, short base $b = 4.5\, \text{m}$ and diagonal $d = 5\, \text{m}$. | 8 |
| 141 | Find the long base $ a $ of a trapezoid if long base $a = 96\, \text{km}$ and angle $\alpha = 70^o$. | 8 |
| 142 | Find the side $ c $ of a trapezoid if long base $a = 230\, \text{cm}$, height $h = 50\, \text{cm}$ and perimeter $P = 530\, \text{cm}$. | 8 |
| 143 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 5 }{ 2 }$, short base $b = \frac{ 241 }{ 100 }$ and height $h = \frac{ 193 }{ 100 }$. | 8 |
| 144 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{in}$, short base $b = 18\, \text{in}$ and height $h = 12\, \text{in}$. | 8 |
| 145 | Find the of a trapezoid if long base $a = \frac{ 111 }{ 4 }$ and short base $b = \frac{ 93 }{ 4 }$. | 8 |
| 146 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{km}$, short base $b = 18\, \text{cm}$ and side $c = 15\, \text{cm}$. | 8 |
| 147 | Find the long base $ a $ of a trapezoid if short base $b = 11.9\, \text{cm}$, height $h = 3.6\, \text{cm}$ and angle $\alpha = 60^o$. | 8 |
| 148 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 8 |
| 149 | Find the side $ c $ of a trapezoid if long base $a = 25$, short base $b = 18$ and height $h = 10$. | 8 |
| 150 | Find the long base $ a $ of a trapezoid if long base $a = 4\, \text{yd}$, short base $b = 2\, \text{cm}$ and height $h = 3\, \text{cm}$. | 8 |
