Question

the area of trapezium is 34 CM square and the length of one of the parallel side is 10 cm and its height is 4 cm find the length of the Other parallel side​

Answer 1

Step-by-step explanation:

Area of trapezium = 1/2 (sum of parallel sides) × height

Let other side be a

Hence, 34 = 1/2 (10 + a) × 4

Solve for a to find side

Answer 2

Given :-

• Area of trapezium is 34cm
• length of one parallel side is ( a ) 10cm
• Height is 4cm

To Find :-

• other parallel side = ?

Solution :-

$\sf<strong> </strong><strong>†</strong><strong>Area</strong> \:<strong>of</strong> \:<strong>trapezium</strong> = \frac{1}{2}(a+b)×h$

$\sf → 34 = \frac{1}{2}(10+b)×4$

$\sf → 34 = (10+b)2$

$\sf→ 34 = 20+2b$

$\sf→ 2b = 34 - 20$

$\sf→ 2b = 14$

$\sf→ b = \frac{14}{2}$

$\sf→ b = 7cm$

Hence :-

• other parallel side = 7cm