Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2051 | Find the long base $ a $ of a trapezoid if short base $b = 24.35\, \text{mm}$, height $h = 13.225\, \text{mm}$ and angle $\beta = 135^o$. | 2 |
| 2052 | Find the long base $ a $ of a trapezoid if long base $a = 106\, \text{in}$, side $c = 10\, \text{in}$ and diagonal $d = 12\, \text{in}$. | 2 |
| 2053 | Find the long base $ a $ of a trapezoid if long base $a = 1630\, \text{mm}$, short base $b = 1503\, \text{mm}$ and height $h = 725\, \text{mm}$. | 2 |
| 2054 | Find the long base $ a $ of a trapezoid if long base $a = 1630\, \text{mm}$, short base $b = 1503\, \text{mm}$ and diagonal $d = 1900\, \text{mm}$. | 2 |
| 2055 | Find the long base $ a $ of a trapezoid if long base $a = 2360\, \text{mm}$, short base $b = 1065\, \text{mm}$ and side $c = 910\, \text{mm}$. | 2 |
| 2056 | Find the long base $ a $ of a trapezoid if long base $a = 2360\, \text{mm}$, short base $b = 1065\, \text{mm}$, side $c = 910\, \text{mm}$ and height $h = 300\, \text{mm}$. | 2 |
| 2057 | Find the long base $ a $ of a trapezoid if short base $b = 38.5\, \text{in}$, side $c = 29\, \text{in}$ and diagonal $d = 49.5\, \text{in}$. | 2 |
| 2058 | Find the height $ h $ of a trapezoid if long base $a = 106\, \text{in}$, short base $b = 66\, \text{in}$ and side $c = 28\, \text{in}$. | 2 |
| 2059 | Find the short base $ b $ of a trapezoid if long base $a = 106\, \text{in}$, side $c = 28\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 2060 | Find the angle $ \alpha $ of a trapezoid if long base $a = 99.5\, \text{in}$, short base $b = 62\, \text{in}$ and side $c = 25\, \text{in}$. | 2 |
| 2061 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{ft}$ and short base $b = 5\, \text{ft}$. | 2 |
| 2062 | Find the area $ A $ of a trapezoid if long base $a = 2\, \text{ft}$, short base $b = 4\, \text{ft}$ and diagonal $d = 5\, \text{ft}$. | 2 |
| 2063 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8\, \text{ft}$ and short base $b = 4\, \text{ft}$. | 2 |
| 2064 | Find the angle $ \beta $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 4\, \text{ft}$ and angle $\alpha = 45^o$. | 2 |
| 2065 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{in}$ and short base $b = 4\, \text{in}$. | 2 |
| 2066 | Find the side $ c $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 2067 | Find the height $ h $ of a trapezoid if long base $a = 1.8\, \text{m}$, short base $b = 0.45\, \text{m}$ and side $c = 1.35\, \text{m}$. | 2 |
| 2068 | Find the height $ h $ of a trapezoid if long base $a = 1.8\, \text{m}$, short base $b = 0.4\, \text{m}$ and side $c = 1.4\, \text{m}$. | 2 |
| 2069 | Find the angle $ \beta $ of a trapezoid if long base $a = 1.8\, \text{m}$, short base $b = 0.4\, \text{m}$ and side $c = 1.4\, \text{m}$. | 2 |
| 2070 | Find the long base $ a $ of a trapezoid if long base $a = 38\, \text{mm}$, short base $b = 25\, \text{mm}$ and height $h = 14\, \text{mm}$. | 2 |
| 2071 | Find the long base $ a $ of a trapezoid if short base $b = 55\, \text{mm}$, height $h = 5.25\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 2072 | Find the long base $ a $ of a trapezoid if long base $a = 37.5\, \text{mm}$, short base $b = 30\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2073 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{in}$, side $c = 16\, \text{in}$, height $h = 12\, \text{in}$ and angle $\alpha = 42^o$. | 2 |
| 2074 | Find the long base $ a $ of a trapezoid if short base $b = 14\, \text{in}$, side $c = 16\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 2075 | Find the long base $ a $ of a trapezoid if short base $b = 57\, \text{in}$, side $c = 16\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 2076 | Find the short base $ b $ of a trapezoid if long base $a = 42\, \text{mm}$ and height $h = 18\, \text{mm}$. | 2 |
| 2077 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 2078 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, diagonal $d = 10.1875\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 2079 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 10.1875\, \text{in}$ and angle $\beta = 105^o$. | 2 |
| 2080 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 9\, \text{in}$, diagonal $d = 10.1875\, \text{in}$, height $h = 8.6875\, \text{in}$, angle $\alpha = 75^o$ and angle $\beta = 105^o$. | 2 |
| 2081 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 9\, \text{in}$ and height $h = 8.6875\, \text{in}$. | 2 |
| 2082 | Find the long base $ a $ of a trapezoid if long base $a = 136\, \text{mm}$, short base $b = 60\, \text{mm}$ and side $c = 125\, \text{mm}$. | 2 |
| 2083 | Find the height $ h $ of a trapezoid if long base $a = 68.29\, \text{mm}$, short base $b = 30\, \text{mm}$ and side $c = 125\, \text{mm}$. | 2 |
| 2084 | Find the median $ m $ of a trapezoid if long base $a = 49.125\, \text{mm}$, short base $b = 30\, \text{mm}$ and side $c = 62.5\, \text{mm}$. | 2 |
| 2085 | Find the side $ c $ of a trapezoid if long base $a = 509\, \text{cm}$, short base $b = 413\, \text{m}$ and diagonal $d = 717\, \text{cm}$. | 2 |
| 2086 | Find the side $ c $ of a trapezoid if long base $a = 509\, \text{cm}$, short base $b = 413\, \text{cm}$ and diagonal $d = 717\, \text{cm}$. | 2 |
| 2087 | Find the side $ c $ of a trapezoid if long base $a = 509\, \text{cm}$, short base $b = 413\, \text{cm}$, diagonal $d = 717\, \text{cm}$ and height $h = 5\, \text{m}$. | 2 |
| 2088 | Find the angle $ \alpha $ of a trapezoid if long base $a = 4\, \text{mm}$, short base $b = 3\, \text{mm}$ and height $h = 4\, \text{mm}$. | 2 |
| 2089 | Find the long base $ a $ of a trapezoid if long base $a = 0.94\, \text{mm}$, short base $b = 0.7\, \text{mm}$ and height $h = 0.75\, \text{mm}$. | 2 |
| 2090 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.94\, \text{in}$, short base $b = 0.7\, \text{in}$ and height $h = 0.75\, \text{in}$. | 2 |
| 2091 | Find the long base $ a $ of a trapezoid if long base $a = 7\, \text{in}$, short base $b = 2.563\, \text{in}$ and perimeter $P = 41.438\, \text{in}$. | 2 |
| 2092 | Find the height $ h $ of a trapezoid if long base $a = 7\, \text{in}$, short base $b = 2.563\, \text{in}$ and perimeter $P = 41.438\, \text{in}$. | 2 |
| 2093 | Find the area $ A $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 12\, \text{ft}$, side $c = 19\, \text{ft}$ and height $h = 15\, \text{ft}$. | 2 |
| 2094 | Find the height $ h $ of a trapezoid if long base $a = 12\, \text{m}$, short base $b = 8\, \text{m}$ and area $A = 90\, \text{m}^2$. | 2 |
| 2095 | Find the height $ h $ of a trapezoid if short base $b = 8\, \text{m}$, height $h = 10\, \text{m}$ and area $A = 100\, \text{m}^2$. | 2 |
| 2096 | Find the height $ h $ of a trapezoid if long base $a = 40\, \text{m}$, short base $b = 14\, \text{m}$, height $h = 8\, \text{m}$ and area $A = 36\, \text{m}^2$. | 2 |
| 2097 | Find the angle $ \alpha $ of a trapezoid if long base $a = 30\, \text{in}$, short base $b = 28\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 2098 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 3\, \text{ft}$, side $c = 5\, \text{ft}$ and diagonal $d = 5\, \text{ft}$. | 2 |
| 2099 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{ft}$, short base $b = 3\, \text{ft}$ and side $c = 5\, \text{ft}$. | 2 |
| 2100 | Find the long base $ a $ of a trapezoid if short base $b = 60\, \text{mm}$, height $h = 20\, \text{mm}$ and median $m = 80\, \text{mm}$. | 2 |
