Trapezoid – Solved Problems Database
All the problems and solutions shown below were generated using the Trapezoid Calculator.
| ID |
Problem |
Count |
| 101 | Find the area $ A $ of a trapezoid if long base $a = 415$, short base $b = 75$ and side $c = 525.1505$. | 6 |
| 102 | Find the short base $ b $ of a trapezoid if long base $a = 20$, height $h = 1$ and angle $\alpha = 45^o$. | 6 |
| 103 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 19 }{ 5 }$ and angle $\alpha = 60^o$. | 6 |
| 104 | Find the short base $ b $ of a trapezoid if long base $a = 20$, side $c = 6$ and angle $\alpha = 60^o$. | 6 |
| 105 | Find the long base $ a $ of a trapezoid if long base $a = 36$, side $c = 18$, angle $\alpha = 45^o$ and angle $\beta = 135^o$. | 6 |
| 106 | Find the long base $ a $ of a trapezoid if long base $a = 665$, side $c = 966$ and angle $\alpha = 90^o$. | 6 |
| 107 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 119 }{ 10 }$, height $h = \frac{ 18 }{ 5 }$ and angle $\alpha = 60^o$. | 6 |
| 108 | Find the of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = 2$ and side $c = 24$. | 6 |
| 109 | Find the long base $ a $ of a trapezoid if short base $b = 18$, side $c = 11$ and height $h = 10$. | 6 |
| 110 | Find the short base $ b $ of a trapezoid if long base $a = 31$, side $c = 8$ and angle $\alpha = 45^o$. | 5 |
| 111 | Find the area $ A $ of a trapezoid if long base $a = 14$, short base $b = 8$ and side $c = 5$. | 5 |
| 112 | Find the angle $ \beta $ of a trapezoid if long base $a = \frac{ 23019 }{ 1000 }$, height $h = \frac{ 143 }{ 10 }$ and angle $\alpha = 67^o$. | 5 |
| 113 | Find the short base $ b $ of a trapezoid if long base $a = 20$, short base $b = 15$ and height $h = \frac{ 7 }{ 2 }$. | 5 |
| 114 | Find the of a trapezoid if long base $a = 31$, short base $b = 16$ and side $c = 8$. | 5 |
| 115 | Find the short base $ b $ of a trapezoid if long base $a = 22$ and median $m = 19$. | 5 |
| 116 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1 }{ 25 }$, short base $b = \frac{ 27 }{ 1000 }$ and height $h = \frac{ 247 }{ 1000 }$. | 5 |
| 117 | Find the long base $ a $ of a trapezoid if side $c = 30$, angle $\alpha = 65^o$ and angle $\beta = 90^o$. | 5 |
| 118 | Find the long base $ a $ of a trapezoid if long base $a = 30$, side $c = 10$, angle $\alpha = 60^o$ and angle $\beta = 120^o$. | 5 |
| 119 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 9243 }{ 100 }$, short base $b = \frac{ 859 }{ 10 }$ and side $c = 18$. | 5 |
| 120 | Find the short base $ b $ of a trapezoid if long base $a = 21$, side $c = \frac{ 23 }{ 2 }$ and angle $\alpha = 30^o$. | 5 |
| 121 | Find the long base $ a $ of a trapezoid if long base $a = 6$, short base $b = 5$ and height $h = 40$. | 5 |
| 122 | Find the side $ c $ of a trapezoid if long base $a = 490$, short base $b = 100$ and angle $\alpha = 75^o$. | 5 |
| 123 | Find the height $ h $ of a trapezoid if long base $a = 14$, short base $b = 4$ and side $c = 13$. | 5 |
| 124 | Find the of a trapezoid if long base $a = \frac{ 1199 }{ 20 }$, short base $b = \frac{ 597 }{ 10 }$ and side $c = \frac{ 9 }{ 20 }$. | 5 |
| 125 | Find the angle $ \beta $ of a trapezoid if long base $a = 3$, short base $b = 1$ and height $h = 2$. | 5 |
| 126 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 2067 }{ 250 }$, height $h = \frac{ 127 }{ 10 }$ and angle $\alpha = 67^o$. | 5 |
| 127 | Find the of a trapezoid if angle $\beta = 122^o$. | 5 |
| 128 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = 9$. | 5 |
| 129 | Find the side $ c $ of a trapezoid if long base $a = 18$ and short base $b = 6$. | 5 |
| 130 | Find the area $ A $ of a trapezoid if long base $a = 23$, short base $b = 15$ and side $c = \frac{ 1131 }{ 100 }$. | 5 |
| 131 | Find the area $ A $ of a trapezoid if long base $a = 32$, short base $b = 6$ and side $c = 15$. | 5 |
| 132 | Find the long base $ a $ of a trapezoid if long base $a = 12$, short base $b = 6$ and height $h = 4$. | 5 |
| 133 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 19 }{ 16 }$, short base $b = \frac{ 7 }{ 8 }$ and height $h = \frac{ 9 }{ 2 }$. | 5 |
| 134 | Find the long base $ a $ of a trapezoid if long base $a = \frac{ 1491 }{ 16 }$, short base $b = \frac{ 323 }{ 4 }$ and angle $\alpha = 30^o$. | 5 |
| 135 | Find the long base $ a $ of a trapezoid if short base $b = 170$ and side $c = 190$. | 5 |
| 136 | Find the area $ A $ of a trapezoid if long base $a = \frac{ 39 }{ 5 }$, short base $b = \frac{ 16 }{ 5 }$ and side $c = \frac{ 29 }{ 5 }$. | 5 |
| 137 | Find the long base $ a $ of a trapezoid if long base $a = 29$, height $h = 9$ and area $A = \frac{ 387 }{ 2 }$. | 5 |
| 138 | Find the long base $ a $ of a trapezoid if short base $b = 50$, side $c = 6$, height $h = \frac{ 59 }{ 10 }$ and angle $\alpha = 80^o$. | 5 |
| 139 | Find the of a trapezoid if long base $a = 19$, short base $b = \frac{ 65 }{ 4 }$, side $c = \frac{ 439 }{ 25 }$ and height $h = \frac{ 35 }{ 2 }$. | 5 |
| 140 | Find the area $ A $ of a trapezoid if long base $a = 8$, short base $b = 5$ and height $h = \frac{ 24 }{ 5 }$. | 5 |
| 141 | Find the short base $ b $ of a trapezoid if long base $a = 4$, height $h = \frac{ 143 }{ 10 }$ and area $A = \frac{ 3289 }{ 25 }$. | 5 |
| 142 | Find the short base $ b $ of a trapezoid if long base $a = \frac{ 21 }{ 4 }$, height $h = \frac{ 11 }{ 2 }$ and angle $\alpha = 75^o$. | 5 |
| 143 | Find the long base $ a $ of a trapezoid if short base $b = 11$, height $h = 8$ and area $A = 136$. | 5 |
| 144 | Find the area $ A $ of a trapezoid if long base $a = 20$, angle $\alpha = 45^o$ and angle $\beta = 45^o$. | 5 |
| 145 | Find the long base $ a $ of a trapezoid if short base $b = \frac{ 31 }{ 8 }$, angle $\alpha = 70^o$ and angle $\beta = 110^o$. | 5 |
| 146 | Find the long base $ a $ of a trapezoid if long base $a = 164$, short base $b = \frac{ 782 }{ 5 }$, side $c = 54$, height $h = 164$ and perimeter $P = \frac{ 1972 }{ 5 }$. | 5 |
| 147 | Find the height $ h $ of a trapezoid if long base $a = \frac{ 53 }{ 8 }$, short base $b = \frac{ 5 }{ 2 }$ and side $c = 24$. | 5 |
| 148 | Find the long base $ a $ of a trapezoid if long base $a = 15$, short base $b = 9$, side $c = 5$, diagonal $d = 5$, height $h = 4$ and angle $\alpha = 5^o$. | 5 |
| 149 | Find the height $ h $ of a trapezoid if short base $b = 18$, side $c = 11$ and angle $\beta = 45^o$. | 5 |
| 150 | Find the side $ c $ of a trapezoid if long base $a = 26$, short base $b = 8$ and height $h = 9$. | 5 |
