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 area $ A $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 4\, \text{mm}$ and height $h = 2\, \text{mm}$. | 3 |
| 2052 | Find the long base $ a $ of a trapezoid if long base $a = 50.8\, \text{mm}$, short base $b = 38.1\, \text{mm}$ and side $c = 31.75\, \text{mm}$. | 3 |
| 2053 | Find the angle $ \alpha $ of a trapezoid if long base $a = 50.8\, \text{mm}$, short base $b = 38.1\, \text{mm}$ and side $c = 31.75\, \text{mm}$. | 3 |
| 2054 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, side $c = 50.125\, \text{mm}$ and height $h = 47\, \text{mm}$. | 3 |
| 2055 | Find the long base $ a $ of a trapezoid if short base $b = 63.6\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\beta = 120^o$. | 3 |
| 2056 | Find the long base $ a $ of a trapezoid if short base $b = 69.1875\, \text{in}$, height $h = 8.375\, \text{in}$ and angle $\alpha = 89.9116^o$. | 3 |
| 2057 | Find the side $ c $ of a trapezoid if long base $a = 39.7\, \text{mm}$, side $c = 35.32\, \text{mm}$ and diagonal $d = 53.137\, \text{mm}$. | 2 |
| 2058 | Find the long base $ a $ of a trapezoid if short base $b = 10\, \text{mm}$, height $h = 100\, \text{mm}$ and angle $\alpha = 5^o$. | 2 |
| 2059 | Find the side $ c $ of a trapezoid if long base $a = 87\, \text{in}$, short base $b = 9\, \text{in}$, side $c = 81\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2060 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{ft}$, side $c = 16\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 2061 | Find the long base $ a $ of a trapezoid if height $h = 31.25\, \text{in}$, angle $\alpha = 61^o$ and angle $\beta = 121^o$. | 2 |
| 2062 | Find the long base $ a $ of a trapezoid if long base $a = 83\, \text{in}$, short base $b = 47.5\, \text{in}$, height $h = 31.25\, \text{in}$, angle $\alpha = 61^o$ and angle $\beta = 121^o$. | 2 |
| 2063 | Find the long base $ a $ of a trapezoid if side $c = 36.25\, \text{in}$, angle $\alpha = 61^o$ and angle $\beta = 121^o$. | 2 |
| 2064 | Find the long base $ a $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$ and side $c = 36.25\, \text{in}$. | 2 |
| 2065 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$ and side $c = 36.5\, \text{in}$. | 2 |
| 2066 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$ and side $c = 36.75\, \text{in}$. | 2 |
| 2067 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$ and height $h = 31.75\, \text{in}$. | 2 |
| 2068 | Find the angle $ \beta $ of a trapezoid if short base $b = 47\, \text{in}$, side $c = 36.25\, \text{in}$ and height $h = 31.5\, \text{in}$. | 2 |
| 2069 | Find the angle $ \beta $ of a trapezoid if long base $a = 84\, \text{in}$, short base $b = 47\, \text{in}$, side $c = 36.25\, \text{in}$ and height $h = 31.75\, \text{in}$. | 2 |
| 2070 | Find the angle $ \beta $ of a trapezoid if short base $b = 47\, \text{in}$, side $c = 36.25\, \text{in}$ and height $h = 31.75\, \text{in}$. | 2 |
| 2071 | Find the long base $ a $ of a trapezoid if short base $b = 47.5\, \text{in}$, angle $\alpha = 61^o$ and angle $\beta = 121^o$. | 2 |
| 2072 | Find the long base $ a $ of a trapezoid if short base $b = 47.5\, \text{in}$, height $h = 31.25\, \text{in}$, angle $\alpha = 61^o$ and angle $\beta = 121^o$. | 2 |
| 2073 | Find the angle $ \alpha $ of a trapezoid if short base $b = 47.5\, \text{in}$, side $c = 36.25\, \text{in}$ and height $h = 31.25\, \text{in}$. | 2 |
| 2074 | Find the angle $ \alpha $ of a trapezoid if short base $b = 47.5\, \text{in}$, side $c = 36\, \text{in}$ and height $h = 31.25\, \text{in}$. | 2 |
| 2075 | Find the perimeter $ P $ of a trapezoid if long base $a = 1.4\, \text{in}$, short base $b = 0.81\, \text{in}$ and height $h = 0.24\, \text{in}$. | 2 |
| 2076 | Find the long base $ a $ of a trapezoid if short base $b = 12\, \text{mm}$, side $c = 12\, \text{mm}$, angle $\alpha = 25^o$ and angle $\beta = 155^o$. | 2 |
| 2077 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{in}$, short base $b = 10\, \text{in}$ and side $c = 4\, \text{ft}$. | 2 |
| 2078 | Find the angle $ \alpha $ of a trapezoid if long base $a = 33.25\, \text{mm}$, short base $b = 32.32\, \text{mm}$ and height $h = 18\, \text{mm}$. | 2 |
| 2079 | Find the angle $ \alpha $ of a trapezoid if long base $a = 33.4\, \text{mm}$, short base $b = 32.5\, \text{mm}$ and height $h = 18\, \text{mm}$. | 2 |
| 2080 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{mm}$, height $h = 0.358\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 2081 | Find the short base $ b $ of a trapezoid if short base $b = 59\, \text{mm}$, side $c = 27\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2082 | Find the long base $ a $ of a trapezoid if short base $b = 6.25\, \text{mm}$ and angle $\beta = 45^o$. | 2 |
| 2083 | Find the long base $ a $ of a trapezoid if long base $a = 0.495\, \text{in}$, height $h = 0.125\, \text{in}$ and angle $\alpha = 65^o$. | 2 |
| 2084 | Find the short base $ b $ of a trapezoid if long base $a = 0.495\, \text{in}$, height $h = 0.125\, \text{in}$ and angle $\alpha = 65^o$. | 2 |
| 2085 | Find the side $ c $ of a trapezoid if long base $a = 18\, \text{in}$ and short base $b = 8\, \text{in}$. | 2 |
| 2086 | Find the long base $ a $ of a trapezoid if long base $a = 1771\, \text{mm}$, short base $b = 1270\, \text{mm}$ and height $h = 1066.5\, \text{mm}$. | 2 |
| 2087 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 11.125\, \text{in}$ and height $h = 25.5\, \text{in}$. | 2 |
| 2088 | Find the long base $ a $ of a trapezoid if long base $a = 69.125\, \text{in}$ and side $c = 3.75\, \text{in}$. | 2 |
| 2089 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 22\, \text{mm}$. | 2 |
| 2090 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 22\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2091 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 22\, \text{mm}$. | 2 |
| 2092 | Find the angle $ \beta $ of a trapezoid if long base $a = 15\, \text{mm}$, side $c = 22\, \text{mm}$ and angle $\alpha = 60^o$. | 2 |
| 2093 | Find the height $ h $ of a trapezoid if long base $a = 15\, \text{in}$, side $c = 22\, \text{in}$ and angle $\beta = 120^o$. | 2 |
| 2094 | Find the short base $ b $ of a trapezoid if long base $a = 24\, \text{in}$, height $h = 10\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 2095 | Find the long base $ a $ of a trapezoid if long base $a = 42.5\, \text{ft}$, short base $b = 41.5\, \text{ft}$ and height $h = 16\, \text{ft}$. | 2 |
| 2096 | Find the long base $ a $ of a trapezoid if long base $a = 138\, \text{cm}$, short base $b = 127\, \text{cm}$ and side $c = 11.5\, \text{cm}$. | 2 |
| 2097 | Find the perimeter $ P $ of a trapezoid if long base $a = 50\, \text{ft}$, height $h = 30\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2098 | Find the long base $ a $ of a trapezoid if long base $a = 2.0833\, \text{ft}$, short base $b = 1.6667\, \text{ft}$ and height $h = 25\, \text{ft}$. | 2 |
| 2099 | Find the long base $ a $ of a trapezoid if short base $b = 16.75\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 2100 | Find the long base $ a $ of a trapezoid if short base $b = 48\, \text{in}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
