Question

The area of a trapezium is 475cm² and the height is 19cm. Find the length of its two parallel sides if one side is 4cm greater than the other​

Answer 1

HELLO MATE HERE IS YOUR ANSWER-

AREA-475CM^2

HEIGHT-19CM

FIRST PARALLEL SIDE-X

SECOND PARALLEL SIDE-X+4

THEN EQN.-

$475 = \frac{1}{2} \times (x + 4 + x) \times 19 \\ \\ 475 = \frac{1}{2} \times (2x + 4 )\times 19 \\ \\ 475 = (x + 2 )\times 19 \\ \\ x + 2 = 475 \div 19 \\ \\ x + 2 = 25 \\ \\ x = 25 - 2 = = > 23$

HENCE first parallel side equals to 23 cm and second parallel side is equal to 27 CM .