Question

The area of trapezium shape field is 480 meter square, the distance between two parallel sides is 15 cm and one of the parallel side is 20 m. find the other parallel side.

Answer 1

Area of field =1/2 height (a+b)
480= 1/2 15 (20+b)
480×2 = 15 (20+b)
960 = 15 (20+b)
960/15 = 20 + b
64 = 20 + b
64 - 20 = b
44 cm = b

Answer 2

Given Data :

• Area of Trapezium Shaped Field = 480 m²
• Distance Between Two Parallel Sides = 15 m
• One of the Parallel Side = 20 m

To Find : Measure of Other Parallel Side in the Trapezium

Answer : Measure of Other Parallel Side = 44 m

Step By Step Solution :

➤ Let Other Parallel Side be x

• Area of Trapezium Shaped Field = 480 m²
• 1/2 × Sum of Parallel Sides × Distance Between Them = 480 m²
• 1/2 × Sum of Parallel Sides × 15 m = 480 m²
• 1/2 × (20 m + x) × 15 m = 480 m²
• [1/2 × (20 m + x) × 15 m]/15 m = 480 m²/15 m
• 1/2 × (20 m + x) = 32 m
• 1/2 × (20 m) + 1/2 × (x) = 32 m
• 10 m + (x/2) = 32 m
• x/2 = 32 m - 10 m ⇒ x/2 = 22 m ⇒ x = 22 × 2 m ⇒ x = 44 m