Question

The area of trapezium shaped field is 480 m2

, the distance between

two parallel sides is 15 m and one of the parallel side is 20 m. Find

the other parallel side.

​

Answer 1

Answer:

Hope This Help You.

Step-by-step explanation:

Let ABCD be a Trapezium with parallel sides AB and CD.

Let AB = 2o....... ( Given) and CD = x

A(ABCD) = 480m^2 , Height (H) = 15m...... (Given)

We Know That, A(ABCD) = (AB+CD)/2×h

480 = 20+x/2×15

= 2×480/15 = 20+x

64 = 20+x

x = 44

Hence, length of other parallel side CD is 44m.

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