a field in the shape of a Trapezium whose parallel sides are 25m and 10m the non parallel sides are 14m and 13m find the area of the field
Answers
Answered by
37
Here's your answer!!
_______________________________
It's given that,
Length of parallel sides are 25cm and 10cm.
And length of non-parallel sides are 14 cm and 13 cm.
We have to find it's area , to find the area of Trapezium we must have sum of parallel sides and height of Trapezium.
We have parallel sides , but we have to find height.
So,
We will first drawn AE // BC
=> AE =BC= 13 cm
Now,
In ∆ ADE,
=>AD =14 cm (Given)
=>AE =13 cm
And,
=>DE=DC-EC
Therefore,
Therefore,
Area of ∆ADE =
Hence,
Area of ∆ ADE = 84 cm^2
So,
Hence,
Height of Trapezium= 11.2cm
Now, we can easily find the area of Trapezium.
Area of Trapezium=
Hence,
Area of Trapezium is 196 cm^2
______________________________
Hope it helps you!! :)
_______________________________
It's given that,
Length of parallel sides are 25cm and 10cm.
And length of non-parallel sides are 14 cm and 13 cm.
We have to find it's area , to find the area of Trapezium we must have sum of parallel sides and height of Trapezium.
We have parallel sides , but we have to find height.
So,
We will first drawn AE // BC
=> AE =BC= 13 cm
Now,
In ∆ ADE,
=>AD =14 cm (Given)
=>AE =13 cm
And,
=>DE=DC-EC
Therefore,
Therefore,
Area of ∆ADE =
Hence,
Area of ∆ ADE = 84 cm^2
So,
Hence,
Height of Trapezium= 11.2cm
Now, we can easily find the area of Trapezium.
Area of Trapezium=
Hence,
Area of Trapezium is 196 cm^2
______________________________
Hope it helps you!! :)
Attachments:
Answered by
8
Given:Length of parallel sides are 25cm and 10cm.
And,
length of non-parallel sides are 14 cm and 13 cm.
To find: area of Trapezium
Soln: we have to find height.
So,
We will first drawn EC // AB
=> EC =AB= 13 cm
Now,
In ∆ CED,
=>CD =14 cm
=>EC =13 cm
And,
=>ED=AD-AE
= > ED=25-10
= > ED=15cm
Therefore,
= >s=a+b+c/2
= >s=21cm
Therefore,
Area of ∆CED =√{s(s-a)(s-b)(s-c)}
= √{21(21-13)(21-14)(21-15)}
= 84cm²
So,
Area of ∆CED = 84cm²
1/2 × base × height = 84cm²
1/2 × 15cm × height = 84cm²
height = 11.2cm
Now,
Area of Trapezium=(sum of parallel side)/2×height
=(25+10)/2×11.2
= 196 cm²
Attachments:
Similar questions