Trapezoid
(the database of solved problems)
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 801 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 1 }{ 3 }$, height $h = \frac{ 1 }{ 2 }$ and area $A = 300$. | 4 |
| 802 | Find the area $ A $ of a trapezoid if short base $b = 18$, height $h = 9$ and angle $\alpha = 45^o$. | 4 |
| 803 | Find the area $ A $ of a trapezoid if long base $a = 4$, short base $b = 2$ and side $c = 2$. | 4 |
| 804 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 37 }{ 10 }$, short base $b = \frac{ 3 }{ 2 }$ and side $c = \frac{ 43 }{ 10 }$. | 4 |
| 805 | Find the long base $ a $ of a trapezoid if long base $a = 60$, short base $b = 10$ and height $h = 54$. | 4 |
| 806 | Find the long base $ a $ of a trapezoid if long base $a = 35$, side $c = \frac{ 63 }{ 2 }$ and height $h = \frac{ 123 }{ 4 }$. | 4 |
| 807 | Find the short base $ b $ of a trapezoid if long base $a = 665$, side $c = 966$ and angle $\alpha = 90^o$. | 4 |
| 808 | Find the of a trapezoid if long base $a = 48$, short base $b = 30$ and height $h = 24$. | 4 |
| 809 | Find the long base $ a $ of a trapezoid if long base $a = 8$, short base $b = 6$ and side $c = 8$. | 4 |
| 810 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 33213 }{ 200 }$, area $A = 1240$ and angle $\alpha = 90^o$. | 4 |
| 811 | Find the of a trapezoid if long base $a = 16$, short base $b = 8$ and side $c = 8$. | 4 |
| 812 | Find the long base $ a $ of a trapezoid if short base $b = 148$ and side $c = 11$. | 4 |
| 813 | Find the side $ c $ of a trapezoid if long base $a = 24$, short base $b = 6$ and height $h = 96$. | 4 |
| 814 | Find the long base $ a $ of a trapezoid if long base $a = 4$, short base $b = 2$ and side $c = 2$. | 4 |
| 815 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 383 }{ 1000 }$, short base $b = \frac{ 173 }{ 500 }$ and height $h = \frac{ 33 }{ 20 }$. | 4 |
| 816 | Find the long base $ a $ of a trapezoid if short base $b = 40$, side $c = 20$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 4 |
| 817 | Find the of a trapezoid if long base $a = 450$, short base $b = 350$ and height $h = 200$. | 4 |
| 818 | Find the long base $ a $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 4 |
| 819 | Find the diagonal $ d $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\alpha = 70^o$. | 4 |
| 820 | Find the short base $ b $ of a trapezoid if long base $a = 22$, side $c = 7$ and angle $\beta = 110^o$. | 4 |
| 821 | Find the long base $ a $ of a trapezoid if long base $a = 78$, short base $b = 56$ and height $h = 39$. | 4 |
| 822 | Find the long base $ a $ of a trapezoid if short base $b = 32$, side $c = 41$ and height $h = 40$. | 4 |
| 823 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 34287 }{ 6250 }$, height $h = \frac{ 10517 }{ 1000 }$ and angle $\alpha = 89^o$. | 4 |
| 824 | Find the long base $ a $ of a trapezoid if long base $a = 24$, short base $b = 20$ and height $h = 4$. | 4 |
| 825 | Find the median $ m $ of a trapezoid if long base $a = 12$ and short base $b = 8$. | 4 |
| 826 | Find the area $ A $ of a trapezoid if long base $a = 13$, short base $b = 8$ and height $h = \frac{ 24 }{ 5 }$. | 4 |
| 827 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 23 }{ 2 }$, angle $\alpha = 80^o$ and angle $\beta = 100^o$. | 4 |
| 828 | Find the median $ m $ of a trapezoid if long base $a = \frac{ 203 }{ 10 }$ and short base $b = \frac{ 107 }{ 10 }$. | 4 |
| 829 | Find the short base $ b $ of a trapezoid if long base $a = 8$, height $h = 6$ and area $A = 39$. | 4 |
| 830 | Find the long base $ a $ of a trapezoid if long base $a = 30$, short base $b = 24$ and height $h = 24$. | 4 |
| 831 | Find the median $ m $ of a trapezoid if long base $a = 20$, short base $b = 6$ and side $c = 24$. | 4 |
| 832 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 109 }{ 10 }$, short base $b = \frac{ 47 }{ 10 }$ and height $h = 5$. | 4 |
| 833 | Find the long base $ a $ of a trapezoid if long base $a = 3$ and short base $b = 1$. | 4 |
| 834 | Find the angle $ \beta $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 17\, \text{in}$. | 4 |
| 835 | Find the angle $ \alpha $ of a trapezoid if long base $a = 22\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 17\, \text{in}$. | 4 |
| 836 | Find the angle $ \alpha $ of a trapezoid if long base $a = 26.5\, \text{in}$, short base $b = 19\, \text{in}$ and height $h = 17\, \text{in}$. | 4 |
| 837 | Find the short base $ b $ of a trapezoid if long base $a = 161\, \text{in}$, side $c = 64\, \text{in}$ and diagonal $d = 8\, \text{in}$. | 4 |
| 838 | Find the long base $ a $ of a trapezoid if short base $b = 161\, \text{in}$, side $c = 64\, \text{in}$ and diagonal $d = 8\, \text{in}$. | 4 |
| 839 | Find the side $ c $ of a trapezoid if long base $a = 3750\, \text{mm}$, side $c = 3650\, \text{mm}$ and angle $\beta = 82^o$. | 4 |
| 840 | Find the long base $ a $ of a trapezoid if long base $a = 3750\, \text{mm}$, angle $\alpha = 90^o$ and angle $\beta = 82^o$. | 4 |
| 841 | Find the area $ A $ of a trapezoid if long base $a = 12.5\, \text{ft}$, short base $b = 8\, \text{ft}$ and side $c = 16\, \text{ft}$. | 4 |
| 842 | Find the short base $ b $ of a trapezoid if long base $a = 15\, \text{mm}$, height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 4 |
| 843 | Find the short base $ b $ of a trapezoid if long base $a = 16\, \text{in}$, height $h = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 4 |
| 844 | Find the long base $ a $ of a trapezoid if side $c = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 4 |
| 845 | Find the short base $ b $ of a trapezoid if side $c = 16\, \text{in}$, angle $\alpha = 85^o$ and angle $\beta = 95^o$. | 4 |
| 846 | Find the long base $ a $ of a trapezoid if long base $a = 13.6\, \text{m}$, short base $b = 2\, \text{m}$ and side $c = 9.1\, \text{m}$. | 4 |
| 847 | Find the long base $ a $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 14\, \text{in}$. | 4 |
| 848 | Find the side $ c $ of a trapezoid if long base $a = 14\, \text{in}$, short base $b = 15\, \text{in}$ and height $h = 14\, \text{in}$. | 4 |
| 849 | Find the long base $ a $ of a trapezoid if long base $a = 27.2\, \text{cm}$, height $h = 8\, \text{cm}$, angle $\alpha = 22.5^o$ and angle $\beta = 157.5^o$. | 4 |
| 850 | Find the long base $ a $ of a trapezoid if short base $b = 203\, \text{mm}$, height $h = 80\, \text{mm}$ and angle $\beta = 22.5^o$. | 4 |
