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 $b = 9.5\, \text{in}$, height $h = 3.5\, \text{in}$ and angle $\alpha = 45^o$. | 2 |
| 2052 | Find the long base $ a $ of a trapezoid if long base $a = 36\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 24\, \text{mm}$. | 2 |
| 2053 | Find the long base $ a $ of a trapezoid if long base $a = 19\, \text{mm}$, short base $b = 13.5\, \text{mm}$ and height $h = 8\, \text{mm}$. | 2 |
| 2054 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{m}$, short base $b = 2.4\, \text{m}$ and side $c = 2.6\, \text{m}$. | 2 |
| 2055 | Find the angle $ \beta $ of a trapezoid if long base $a = 6\, \text{m}$, short base $b = 2.4\, \text{m}$ and side $c = 2.6\, \text{m}$. | 2 |
| 2056 | Find the long base $ a $ of a trapezoid if long base $a = 6\, \text{dm}$, short base $b = 3\, \text{cm}$ and side $c = 8\, \text{cm}$. | 2 |
| 2057 | Find the long base $ a $ of a trapezoid if long base $a = 16.2\, \text{ft}$, side $c = 8\, \text{ft}$, angle $\alpha = 60^o$ and angle $\beta = 60^o$. | 2 |
| 2058 | Find the long base $ a $ of a trapezoid if long base $a = 16.2\, \text{ft}$, side $c = 8\, \text{ft}$ and angle $\alpha = 60^o$. | 2 |
| 2059 | Find the long base $ a $ of a trapezoid if long base $a = 1872\, \text{mm}$, short base $b = 1704\, \text{cm}$, side $c = 470\, \text{cm}$ and height $h = 470\, \text{cm}$. | 2 |
| 2060 | Find the long base $ a $ of a trapezoid if short base $b = 42\, \text{ft}$ and side $c = 73\, \text{ft}$. | 2 |
| 2061 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{ft}$, short base $b = 20\, \text{ft}$, side $c = 20\, \text{ft}$ and height $h = 15\, \text{ft}$. | 2 |
| 2062 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{ft}$, short base $b = 20\, \text{ft}$ and height $h = 15\, \text{ft}$. | 2 |
| 2063 | Find the long base $ a $ of a trapezoid if long base $a = 70\, \text{ft}$, short base $b = 30\, \text{ft}$ and height $h = 20\, \text{ft}$. | 2 |
| 2064 | Find the height $ h $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 2\, \text{mm}$, side $c = 5\, \text{mm}$ and area $A = 245\, \text{mm}^2$. | 2 |
| 2065 | Find the height $ h $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2066 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 2067 | Find the height $ h $ of a trapezoid if long base $a = 16\, \text{mm}$, short base $b = 10\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 2068 | Find the perimeter $ P $ of a trapezoid if long base $a = 9\, \text{mm}$, short base $b = 3\, \text{mm}$ and side $c = 8\, \text{mm}$. | 2 |
| 2069 | Find the perimeter $ P $ of a trapezoid if long base $a = 14\, \text{mm}$, short base $b = 2\, \text{mm}$ and side $c = 5\, \text{mm}$. | 2 |
| 2070 | Find the long base $ a $ of a trapezoid if short base $b = 21\, \text{ft}$, height $h = 2.5\, \text{ft}$ and angle $\alpha = 14^o$. | 2 |
| 2071 | Find the long base $ a $ of a trapezoid if short base $b = 3.25\, \text{in}$, height $h = 6\, \text{in}$ and angle $\beta = 7.5^o$. | 2 |
| 2072 | Find the long base $ a $ of a trapezoid if short base $b = 680\, \text{mm}$, height $h = 676\, \text{mm}$ and angle $\alpha = 82^o$. | 2 |
| 2073 | Find the long base $ a $ of a trapezoid if long base $a = 72\, \text{in}$, short base $b = 72\, \text{in}$, side $c = 72\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2074 | Find the long base $ a $ of a trapezoid if diagonal $d = 15\, \text{cm}$ and height $h = 12\, \text{cm}$. | 2 |
| 2075 | Find the long base $ a $ of a trapezoid if short base $b = 18\, \text{mm}$, height $h = 9\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2076 | Find the long base $ a $ of a trapezoid if long base $a = 50\, \text{mm}$, short base $b = 27\, \text{mm}$ and side $c = 27\, \text{mm}$. | 2 |
| 2077 | Find the angle $ \beta $ of a trapezoid if long base $a = 50\, \text{mm}$, short base $b = 27\, \text{mm}$ and side $c = 27\, \text{mm}$. | 2 |
| 2078 | Find the angle $ \beta $ of a trapezoid if long base $a = 16\, \text{in}$, short base $b = 10.125\, \text{in}$ and height $h = 20\, \text{in}$. | 2 |
| 2079 | Find the long base $ a $ of a trapezoid if short base $b = 11\, \text{in}$ and side $c = 4\, \text{in}$. | 2 |
| 2080 | Find the height $ h $ of a trapezoid if long base $a = 9.5\, \text{in}$, short base $b = 32\, \text{in}$ and diagonal $d = 26.5\, \text{in}$. | 2 |
| 2081 | Find the angle $ \beta $ of a trapezoid if side $c = 48\, \text{in}$. | 2 |
| 2082 | Find the angle $ \beta $ of a trapezoid if side $c = 48\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 2083 | Find the long base $ a $ of a trapezoid if short base $b = 58\, \text{in}$, height $h = 17\, \text{in}$ and angle $\beta = 25.7^o$. | 2 |
| 2084 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{in}$, height $h = 18\, \text{in}$ and angle $\beta = 25.7^o$. | 2 |
| 2085 | Find the long base $ a $ of a trapezoid if short base $b = 54\, \text{in}$, height $h = 17.2\, \text{in}$ and angle $\beta = 112^o$. | 2 |
| 2086 | Find the angle $ \alpha $ of a trapezoid if long base $a = 6\, \text{mm}$, short base $b = 1.5\, \text{mm}$ and height $h = 5.5\, \text{mm}$. | 2 |
| 2087 | Find the area $ A $ of a trapezoid if long base $a = 26\, \text{mm}$, short base $b = 17\, \text{mm}$ and height $h = 41.7\, \text{mm}$. | 2 |
| 2088 | Find the long base $ a $ of a trapezoid if short base $b = 14\, \text{mm}$, height $h = 131.5\, \text{mm}$ and angle $\beta = 92.2^o$. | 2 |
| 2089 | Find the long base $ a $ of a trapezoid if long base $a = 300\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 2090 | Find the side $ c $ of a trapezoid if long base $a = 300\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 2091 | Find the long base $ a $ of a trapezoid if short base $b = 435\, \text{mm}$, height $h = 90\, \text{mm}$, angle $\alpha = 22.5^o$ and angle $\beta = 22.5^o$. | 2 |
| 2092 | Find the side $ c $ of a trapezoid if long base $a = 8.5\, \text{mm}$, short base $b = 6.5\, \text{mm}$ and height $h = 20\, \text{mm}$. | 2 |
| 2093 | Find the side $ c $ of a trapezoid if long base $a = 8.28\, \text{mm}$, short base $b = 6.28\, \text{mm}$ and height $h = 35\, \text{mm}$. | 2 |
| 2094 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, height $h = 15\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 2095 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, height $h = 150\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 2096 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, side $c = 173.2\, \text{mm}$, height $h = 150\, \text{mm}$, angle $\alpha = 30^o$ and angle $\beta = 150^o$. | 2 |
| 2097 | Find the long base $ a $ of a trapezoid if long base $a = 1210\, \text{mm}$, side $c = 173.2\, \text{mm}$, height $h = 150\, \text{mm}$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 2 |
| 2098 | Find the short base $ b $ of a trapezoid if long base $a = 1210\, \text{mm}$, side $c = 173.2\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 2099 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{mm}$ and short base $b = 30\, \text{mm}$. | 2 |
| 2100 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{mm}$ and height $h = 18.3\, \text{mm}$. | 2 |
