Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 2801 | Find the long base $ a $ of a trapezoid if long base $a = 92.43\, \text{km}$, short base $b = 85.9\, \text{cm}$ and side $c = 18\, \text{cm}$. | 2 |
| 2802 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 0.6\, \text{m}$ and angle $\alpha = 71.5651^o$. | 2 |
| 2803 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 8.4\, \text{m}$ and height $h = 9.6\, \text{m}$. | 2 |
| 2804 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 0.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 2805 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 3.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 2806 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 4.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 2807 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 6.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 2808 | Find the area $ A $ of a trapezoid if short base $b = 8.3\, \text{m}$, height $h = 8.6\, \text{m}$ and angle $\alpha = 72.1039^o$. | 2 |
| 2809 | Find the area $ A $ of a trapezoid if long base $a = 1.45\, \text{m}$, short base $b = 3.9\, \text{m}$ and height $h = 22.8\, \text{m}$. | 2 |
| 2810 | Find the area $ A $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 3.9\, \text{m}$ and height $h = 22.8\, \text{m}$. | 2 |
| 2811 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 3.9\, \text{m}$ and height $h = 22.8\, \text{m}$. | 2 |
| 2812 | Find the angle $ \alpha $ of a trapezoid if long base $a = 14.5\, \text{m}$, short base $b = 3.9\, \text{m}$ and angle $\alpha = 76.9137^o$. | 2 |
| 2813 | Find the short base $ b $ of a trapezoid if long base $a = 5.188\, \text{in}$ and angle $\beta = 22.5^o$. | 2 |
| 2814 | Find the long base $ a $ of a trapezoid if diagonal $d = 12\, \text{cm}$ and area $A = 216\, \text{cm}^2$. | 2 |
| 2815 | Find the long base $ a $ of a trapezoid if short base $b = 4\, \text{in}$, side $c = 7\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2816 | Find the long base $ a $ of a trapezoid if height $h = 7\, \text{ft}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2817 | Find the long base $ a $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 5\, \text{m}$ and height $h = 12\, \text{m}$. | 2 |
| 2818 | Find the side $ c $ of a trapezoid if long base $a = 24\, \text{m}$, short base $b = 5\, \text{m}$ and height $h = 12\, \text{m}$. | 2 |
| 2819 | Find the long base $ a $ of a trapezoid if short base $b = 160\, \text{mm}$ and height $h = 150\, \text{mm}$. | 2 |
| 2820 | Find the diagonal $ d $ of a trapezoid if long base $a = 18\, \text{mm}$, side $c = 10\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2821 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.625\, \text{in}$, short base $b = 0.5\, \text{in}$ and height $h = 0.5\, \text{in}$. | 2 |
| 2822 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 76^o$. | 2 |
| 2823 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 88.5^o$. | 2 |
| 2824 | Find the short base $ b $ of a trapezoid if long base $a = 0.625\, \text{in}$, height $h = 0.5\, \text{in}$ and angle $\alpha = 78.5^o$. | 2 |
| 2825 | Find the side $ c $ of a trapezoid if long base $a = 1150\, \text{mm}$, short base $b = 675\, \text{mm}$ and height $h = 950\, \text{mm}$. | 2 |
| 2826 | Find the long base $ a $ of a trapezoid if long base $a = 12\, \text{ft}$, short base $b = 3\, \text{ft}$ and height $h = 6\, \text{ft}$. | 2 |
| 2827 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 2828 | Find the short base $ b $ of a trapezoid if side $c = 21\, \text{in}$, height $h = 21\, \text{in}$ and angle $\alpha = 90^o$. | 2 |
| 2829 | Find the long base $ a $ of a trapezoid if long base $a = 44.5\, \text{in}$, short base $b = 44.5\, \text{mm}$, side $c = 51\, \text{in}$, height $h = 51\, \text{in}$, angle $\alpha = 90^o$ and angle $\beta = 90^o$. | 2 |
| 2830 | Find the long base $ a $ of a trapezoid if long base $a = 15\, \text{ft}$, height $h = 4\, \text{ft}$ and angle $\beta = 45^o$. | 2 |
| 2831 | Find the angle $ \alpha $ of a trapezoid if long base $a = 0.21\, \text{in}$, short base $b = 0.1395\, \text{in}$ and side $c = 0.121\, \text{in}$. | 2 |
| 2832 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 5\, \text{mi}$ and side $c = 8\, \text{mi}$. | 2 |
| 2833 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mi}$, short base $b = 3\, \text{mi}$, side $c = 7\, \text{mi}$ and height $h = 5\, \text{mi}$. | 2 |
| 2834 | Find the long base $ a $ of a trapezoid if short base $b = 650\, \text{mm}$, height $h = 200\, \text{mm}$ and angle $\beta = 120^o$. | 2 |
| 2835 | Find the long base $ a $ of a trapezoid if long base $a = 9\, \text{mm}$ and median $m = 6.5\, \text{mm}$. | 2 |
| 2836 | Find the long base $ a $ of a trapezoid if long base $a = 490\, \text{dm}$, short base $b = 100\, \text{cm}$ and angle $\beta = 73^o$. | 2 |
| 2837 | Find the long base $ a $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 2838 | Find the perimeter $ P $ of a trapezoid if long base $a = 17\, \text{mm}$, short base $b = 9\, \text{mm}$ and angle $\alpha = 45^o$. | 2 |
| 2839 | Find the long base $ a $ of a trapezoid if long base $a = 8\, \text{mm}$, short base $b = 6\, \text{mm}$ and side $c = 10.05\, \text{mm}$. | 2 |
| 2840 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$, side $c = 2\, \text{mm}$ and median $m = 3\, \text{mm}$. | 2 |
| 2841 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{mm}$, short base $b = 4\, \text{mm}$ and side $c = 2\, \text{mm}$. | 2 |
| 2842 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, short base $b = 59\, \text{mm}$, side $c = 27\, \text{mm}$, height $h = 14.9\, \text{mm}$, area $A = 161.665\, \text{mm}^2$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 2 |
| 2843 | Find the short base $ b $ of a trapezoid if long base $a = 14.7\, \text{mm}$, height $h = 14.9\, \text{mm}$ and area $A = 161.665\, \text{mm}^2$. | 2 |
| 2844 | Find the long base $ a $ of a trapezoid if long base $a = 74.5\, \text{mm}$, short base $b = 82.5\, \text{mm}$, side $c = 82.5\, \text{mm}$ and diagonal $d = 82.5\, \text{mm}$. | 2 |
| 2845 | Find the height $ h $ of a trapezoid if long base $a = 5\, \text{m}$, short base $b = 3\, \text{m}$ and area $A = 24\, \text{mi}^2$. | 2 |
| 2846 | Find the long base $ a $ of a trapezoid if long base $a = 34\, \text{mm}$, short base $b = 21\, \text{mm}$ and side $c = 30\, \text{mm}$. | 2 |
| 2847 | Find the long base $ a $ of a trapezoid if long base $a = 2\, \text{mm}$ and angle $\alpha = 82.6^o$. | 2 |
| 2848 | Find the side $ c $ of a trapezoid if short base $b = 1.35\, \text{mm}$, height $h = 1.45\, \text{mm}$ and angle $\alpha = 82.6^o$. | 2 |
| 2849 | Find the long base $ a $ of a trapezoid if long base $a = 60\, \text{cm}$ and angle $\alpha = 70^o$. | 2 |
| 2850 | Find the long base $ a $ of a trapezoid if long base $a = 5\, \text{cm}$, short base $b = 7\, \text{cm}$ and height $h = 6\, \text{cm}$. | 2 |
