Question

the area of a Trapezium shaped field is 480 metre square the distance between the parallel side is 15 cm and one of the parallel side is 20 cm find the other parallel side ​

Answer 1

area of trapezium is 1/2 ×sums of parallel sides × height

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