Question

The area of a trapezium is 1,586 cm and sum of parallel sides is 122 cm. Find the
distance between two parallel sides.​

Answer 1

Answer:

246.3cm

Step-by-step explanation:

area of trapezium =1/2 (sum of parallel side )×height

1586=1/2 (122)×h

1586=61×h

h=1586÷61

h=246.3cm

Answer 2

Answer:-

$\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}</u></p><p><u>[tex]\red{area \: of \: trapezium \: = \frac{1}{2} \times (a + b) \times h}$

$</u></p><p></p><p><u>[tex]\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }</u></p><p></p><p><u>[tex]\blue{1586 {cm}^{2} = \frac{1}{2} \times122cm \times h }$

$</u></p><p></p><p><u>[tex]\purple{1586 {cm}^{2} = \frac{122cm}{2} \times h }$

$\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }</u></p><p></p><p><u>[tex]\pink{ \frac{1586{cm}^{2} \times 2}{122 \: cm} = h }$

$</u></p><p></p><p><u>[tex]\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}</u></p><p></p><p><u>[tex]\green {\dfrac{3172 \cancel{{cm}^{2}}}{122 \cancel {cm}} = h}$

$</u></p><p></p><p><u>[tex]\orange{ \cancel \frac{3172cm}{122}}</u></p><p><u>[tex]\orange{ \cancel \frac{3172cm}{122}}$

$</u></p><p></p><p><u>[tex]\implies \: 26cm = h</u></p><p></p><p><u>[tex]\implies \: 26cm = h$

Hence,The distance between the parallel side is 26cm