The area of trapezium is 480cm and the distance between parallel side is 15cm and one paralel side is 20 . find other parallel side
Answers
Answered by
9
Step-by-step explanation:
first parallel Side = 20
second parallel Side = ?
height of parallel side= 15
Area of trapezium = 480
480= 1/2(a+b)h
480=1/2(20+b)15
480/15(2)=(20+b)
64=20+b
64-20=b
44=b
so, the second parallel side is 44
Answered by
5
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
Similar questions