Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2201 | Find the short base $ b $ of a trapezoid if long base $a = 160\, \text{mm}$, side $c = 100\, \text{mm}$ and median $m = 160\, \text{mm}$. | 2 |
| 2202 | Find the side $ c $ of a trapezoid if long base $a = 54\, \text{mm}$, short base $b = 32\, \text{mm}$ and height $h = 34\, \text{mm}$. | 2 |
| 2203 | Find the long base $ a $ of a trapezoid if short base $b = 1\, \text{ft}$, side $c = 2.36\, \text{ft}$ and height $h = 2\, \text{ft}$. | 2 |
| 2204 | Find the long base $ a $ of a trapezoid if long base $a = 22\, \text{ft}$, short base $b = 14\, \text{ft}$ and side $c = 27\, \text{ft}$. | 2 |
| 2205 | Find the long base $ a $ of a trapezoid if long base $a = 156.25\, \text{mm}$, short base $b = 26.5\, \text{mm}$ and height $h = 96.5\, \text{mm}$. | 2 |
| 2206 | Find the angle $ \alpha $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 48\, \text{in}$ and height $h = 72\, \text{in}$. | 2 |
| 2207 | Find the angle $ \beta $ of a trapezoid if long base $a = 96\, \text{in}$, short base $b = 48\, \text{in}$ and height $h = 72\, \text{in}$. | 2 |
| 2208 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2209 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 16.3\, \text{ft}$ and side $c = 4\, \text{ft}$. | 2 |
| 2210 | Find the angle $ \alpha $ of a trapezoid if long base $a = 18\, \text{ft}$, short base $b = 16.3\, \text{ft}$ and side $c = 4\, \text{ft}$. | 2 |
| 2211 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2.5\, \text{mm}$, height $h = 4.6\, \text{mm}$ and angle $\alpha = 80^o$. | 2 |
| 2212 | Find the short base $ b $ of a trapezoid if long base $a = 2.5\, \text{mm}$, height $h = 4.6\, \text{mm}$ and angle $\alpha = 86^o$. | 2 |
| 2213 | Find the short base $ b $ of a trapezoid if long base $a = 31\, \text{m}$, height $h = 17.5\, \text{m}$ and angle $\alpha = 78.7^o$. | 2 |
| 2214 | Find the angle $ \alpha $ of a trapezoid if long base $a = 76.25\, \text{in}$, short base $b = 18.75\, \text{in}$, side $c = 80.125\, \text{in}$ and height $h = 57.25\, \text{in}$. | 2 |
| 2215 | Find the long base $ a $ of a trapezoid if long base $a = 1200\, \text{mm}$, side $c = 1150\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2216 | Find the long base $ a $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 15\, \text{in}$. | 2 |
| 2217 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and side $c = 15\, \text{in}$. | 2 |
| 2218 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 15\, \text{in}$. | 2 |
| 2219 | Find the side $ c $ of a trapezoid if long base $a = 48\, \text{in}$, short base $b = 24\, \text{in}$ and height $h = 10\, \text{in}$. | 2 |
| 2220 | Find the short base $ b $ of a trapezoid if long base $a = 163\, \text{in}$, height $h = 24\, \text{in}$ and angle $\beta = 45^o$. | 2 |
| 2221 | Find the long base $ a $ of a trapezoid if height $h = 5\, \text{mm}$ and median $m = 14\, \text{mm}$. | 2 |
| 2222 | Find the perimeter $ P $ of a trapezoid if long base $a = 163\, \text{in}$, short base $b = 115.5\, \text{in}$ and height $h = 12\, \text{in}$. | 2 |
| 2223 | Find the side $ c $ of a trapezoid if long base $a = 20\, \text{mm}$, short base $b = 6\, \text{mm}$, side $c = 15\, \text{mm}$ and height $h = 12\, \text{mm}$. | 2 |
| 2224 | Find the side $ c $ of a trapezoid if long base $a = 2400\, \text{mm}$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 2 |
| 2225 | Find the short base $ b $ of a trapezoid if long base $a = 6.75\, \text{in}$, height $h = 6\, \text{in}$ and angle $\alpha = 83^o$. | 2 |
| 2226 | Find the side $ c $ of a trapezoid if long base $a = 500\, \text{mm}$, side $c = 800\, \text{mm}$, height $h = 800\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 2227 | Find the side $ c $ of a trapezoid if long base $a = 500\, \text{mm}$, short base $b = 200\, \text{mm}$, side $c = 800\, \text{mm}$ and angle $\alpha = 90^o$. | 2 |
| 2228 | Find the diagonal $ d $ of a trapezoid if long base $a = 280\, \text{mm}$, short base $b = 210\, \text{mm}$ and side $c = 200\, \text{mm}$. | 2 |
| 2229 | Find the long base $ a $ of a trapezoid if long base $a = 114\, \text{mm}$, short base $b = 100\, \text{mm}$ and height $h = 15\, \text{mm}$. | 2 |
| 2230 | Find the long base $ a $ of a trapezoid if short base $b = 6\, \text{mm}$, height $h = 5.5\, \text{mm}$ and angle $\beta = 102.5^o$. | 2 |
| 2231 | Find the long base $ a $ of a trapezoid if long base $a = 8.1\, \text{mm}$, short base $b = 3.5\, \text{mm}$, side $c = 6.5\, \text{mm}$ and height $h = 6.5\, \text{mm}$. | 2 |
| 2232 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.765\, \text{in}$, short base $b = 0.68\, \text{in}$, side $c = 0.7612\, \text{in}$ and height $h = 0.76\, \text{in}$. | 2 |
| 2233 | Find the long base $ a $ of a trapezoid if short base $b = 91\, \text{cm}$, side $c = 88\, \text{cm}$ and height $h = 92\, \text{cm}$. | 2 |
| 2234 | Find the side $ c $ of a trapezoid if long base $a = 1150\, \text{cm}$, short base $b = 91\, \text{cm}$ and height $h = 92\, \text{cm}$. | 2 |
| 2235 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 29\, \text{ft}$ and side $c = 65\, \text{ft}$. | 2 |
| 2236 | Find the long base $ a $ of a trapezoid if long base $a = 40\, \text{ft}$, short base $b = 29\, \text{ft}$ and side $c = 65\, \text{ft}$. | 2 |
| 2237 | Find the long base $ a $ of a trapezoid if long base $a = 2413\, \text{mm}$, short base $b = 1244.6\, \text{mm}$ and height $h = 2438.4\, \text{mm}$. | 2 |
| 2238 | Find the angle $ \alpha $ of a trapezoid if long base $a = 2413\, \text{mm}$, short base $b = 1955.8\, \text{mm}$ and height $h = 1219.2\, \text{mm}$. | 2 |
| 2239 | Find the long base $ a $ of a trapezoid if long base $a = 16\, \text{mm}$, height $h = 18.6\, \text{mm}$ and area $A = 239.94\, \text{mm}^2$. | 2 |
| 2240 | Find the long base $ a $ of a trapezoid if long base $a = 0.205\, \text{in}$, short base $b = 0.135\, \text{in}$ and height $h = 0.514\, \text{in}$. | 2 |
| 2241 | Find the perimeter $ P $ of a trapezoid if long base $a = 0.31\, \text{in}$, short base $b = 0.252\, \text{in}$ and height $h = 0.737\, \text{in}$. | 2 |
| 2242 | Find the perimeter $ P $ of a trapezoid if long base $a = 0.318\, \text{in}$, short base $b = 0.287\, \text{in}$ and height $h = 1.007\, \text{in}$. | 2 |
| 2243 | Find the perimeter $ P $ of a trapezoid if long base $a = 0.31\, \text{in}$, short base $b = 0.277\, \text{in}$ and height $h = 0.737\, \text{in}$. | 2 |
| 2244 | Find the side $ c $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
| 2245 | Find the angle $ \alpha $ of a trapezoid if long base $a = 8\, \text{in}$, short base $b = 4\, \text{in}$ and height $h = 4\, \text{in}$. | 2 |
| 2246 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 2\, \text{in}$, side $c = 12\, \text{in}$ and diagonal $d = 12\, \text{in}$. | 2 |
| 2247 | Find the long base $ a $ of a trapezoid if long base $a = 20\, \text{in}$, short base $b = 2\, \text{in}$ and side $c = 12\, \text{in}$. | 2 |
| 2248 | Find the long base $ a $ of a trapezoid if long base $a = 18\, \text{mm}$, short base $b = 10\, \text{mm}$ and side $c = 22\, \text{mm}$. | 2 |
| 2249 | Find the long base $ a $ of a trapezoid if long base $a = 31\, \text{mm}$, short base $b = 15\, \text{mm}$, side $c = 14\, \text{mm}$ and angle $\alpha = 70^o$. | 2 |
| 2250 | Find the area $ A $ of a trapezoid if long base $a = 31\, \text{mm}$, short base $b = 15\, \text{mm}$ and side $c = 14\, \text{mm}$. | 2 |
