Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2101 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, height $h = 30\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 2102 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 30\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 2103 | Find the short base $ b $ of a trapezoid if long base $a = 60\, \text{in}$, height $h = 30\, \text{in}$ and angle $\beta = 135^o$. | 2 |
| 2104 | Find the perimeter $ P $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 9\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 2105 | Find the height $ h $ of a trapezoid if long base $a = 60\, \text{in}$, short base $b = 42\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 2106 | Find the area $ A $ of a trapezoid if long base $a = 3.75\, \text{mm}$, short base $b = 6.25\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 2107 | Find the area $ A $ of a trapezoid if long base $a = 3.75\, \text{mm}$, short base $b = 6.25\, \text{mm}$ and height $h = 5\, \text{mm}$. | 2 |
| 2108 | Find the area $ A $ of a trapezoid if long base $a = 3\, \text{mm}$, short base $b = 5\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 2109 | Find the perimeter $ P $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 2110 | Find the long base $ a $ of a trapezoid if short base $b = 4.5\, \text{ft}$, side $c = 16\, \text{ft}$, angle $\alpha = 15^o$ and angle $\beta = 105^o$. | 2 |
| 2111 | Find the side $ c $ of a trapezoid if long base $a = 15\, \text{mm}$ and short base $b = 5\, \text{mm}$. | 2 |
| 2112 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$, side $c = 24\, \text{in}$, diagonal $d = 24\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2113 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$, side $c = 24\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2114 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 2115 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and angle $\alpha = 60^o$. | 2 |
| 2116 | Find the height $ h $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 2 |
| 2117 | Find the angle $ \alpha $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{in}$. | 2 |
| 2118 | Find the long base $ a $ of a trapezoid if short base $b = 166.065\, \text{m}$, area $A = 4460.8438\, \text{m}^2$ and angle $\alpha = 90^o$. | 2 |
| 2119 | Find the long base $ a $ of a trapezoid if short base $b = 16.75\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 2120 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 2121 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{in}$, height $h = 5.5\, \text{in}$ and angle $\alpha = 67.5^o$. | 2 |
| 2122 | Find the long base $ a $ of a trapezoid if long base $a = 63.77\, \text{ft}$, short base $b = 116.4\, \text{ft}$ and side $c = 125\, \text{ft}$. | 2 |
| 2123 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{mm}$, short base $b = 24\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 2124 | Find the short base $ b $ of a trapezoid if long base $a = 55.6875\, \text{in}$, side $c = 25.5\, \text{mm}$, angle $\alpha = 80.5^o$ and angle $\beta = 99.5^o$. | 2 |
| 2125 | Find the long base $ a $ of a trapezoid if short base $b = 52.75\, \text{mm}$, side $c = 35.75\, \text{mm}$ and height $h = 18.75\, \text{mm}$. | 2 |
| 2126 | Find the long base $ a $ of a trapezoid if height $h = 110\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 2 |
| 2127 | Find the side $ c $ of a trapezoid if long base $a = 53\, \text{cm}$, short base $b = 16\, \text{cm}$ and height $h = 28\, \text{cm}$. | 2 |
| 2128 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{mm}$, short base $b = 10.1\, \text{mm}$, side $c = 9\, \text{mm}$ and diagonal $d = 10.8\, \text{mm}$. | 2 |
| 2129 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 64\, \text{mm}$, height $h = 24\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2130 | Find the long base $ a $ of a trapezoid if short base $b = 600\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 2131 | Find the side $ c $ of a trapezoid if long base $a = 3400\, \text{mm}$, short base $b = 600\, \text{mm}$ and height $h = 1400\, \text{mm}$. | 2 |
| 2132 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 50\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 2133 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2134 | Find the long base $ a $ of a trapezoid if short base $b = 3.5\, \text{ft}$, height $h = 6.5\, \text{ft}$ and angle $\beta = 45^o$. | 2 |
| 2135 | Find the area $ A $ of a trapezoid if long base $a = 119\, \text{mm}$, short base $b = 19\, \text{mm}$, side $c = 81\, \text{mm}$ and height $h = 2200\, \text{mm}$. | 2 |
| 2136 | Find the area $ A $ of a trapezoid if long base $a = 7\, \text{mm}$, short base $b = 7\, \text{mm}$ and height $h = 3.1\, \text{mm}$. | 2 |
| 2137 | Find the area $ A $ of a trapezoid if long base $a = 74\, \text{mm}$, short base $b = 115\, \text{mm}$ and height $h = 48\, \text{mm}$. | 2 |
| 2138 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{cm}$, height $h = 60\, \text{mm}$ and angle $\beta = 98.117^o$. | 2 |
| 2139 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{cm}$, height $h = 90.5\, \text{mm}$ and angle $\beta = 98.117^o$. | 2 |
| 2140 | Find the side $ c $ of a trapezoid if long base $a = 126\, \text{in}$, short base $b = 96\, \text{in}$ and height $h = 78\, \text{in}$. | 2 |
| 2141 | Find the long base $ a $ of a trapezoid if long base $a = 45\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 2142 | Find the angle $ \alpha $ of a trapezoid if long base $a = 45\, \text{in}$, short base $b = 36\, \text{in}$ and side $c = 60\, \text{in}$. | 2 |
| 2143 | Find the angle $ \beta $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 16\, \text{in}$, side $c = 16\, \text{in}$ and diagonal $d = 16\, \text{mm}$. | 2 |
| 2144 | Find the diagonal $ d $ of a trapezoid if long base $a = 126\, \text{in}$, short base $b = 96\, \text{in}$ and side $c = 79.5\, \text{in}$. | 2 |
| 2145 | Find the long base $ a $ of a trapezoid if long base $a = 61.57\, \text{in}$, short base $b = 55.22\, \text{in}$, height $h = 5.5\, \text{in}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2146 | Find the height $ h $ of a trapezoid if long base $a = 1550\, \text{mm}$, short base $b = 500\, \text{mm}$, median $m = 500\, \text{mm}$ and angle $\alpha = 49.4^o$. | 2 |
| 2147 | Find the short base $ b $ of a trapezoid if long base $a = 28\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2148 | Find the long base $ a $ of a trapezoid if long base $a = 778\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 2149 | Find the short base $ b $ of a trapezoid if long base $a = 778\, \text{mm}$ and angle $\alpha = 22.5^o$. | 2 |
| 2150 | Find the short base $ b $ of a trapezoid if long base $a = 778\, \text{mm}$, angle $\alpha = 67.5^o$ and angle $\beta = 112.5^o$. | 2 |
