the area of a trapezium is 34cm², the length of one of the parellel side is 10cm and its height is 4cm. Find the length of the other parallel side
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the area of a trapezium is 34cm², the length of one of the parellel side is 10cm and its height is 4cm. Find the length of the other parallel side
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Answer:
7cm.
Explanation :
Let's suppose the other parallel side is ‘a’ units.
We know that,
Area of a trapezium :
→ ½• sum of the parallel sides • height
Where,
So, we can say that
→ 34 = ½ • (a + 10) • 4
Solving for ‘a' :
→ 34 = (a + 10) • 2
→ 34/2 = (a + 10)
→ 17 = a + 10
→ 17 - 10 = a
→ 7 = a
The value of ‘a’ is 7 units.
Therefore, the length of the other parallel side is 7cm.
_____________________
Given
Let
We know,
[tex] \bigstar \: \rm Area_{(trapezium)} \: = \dfrac{1}{2} (sum \: of \: parallel \: sides) \times height[/tex]
On substituting the values, we get
[tex]\rm :\implies\:34 = \dfrac{1}{2} (10 + x) \times 4[/tex]
[tex]\rm :\implies\:34 = 2(10 + x)[/tex]
[tex]\rm :\implies\:17 = 10 + x[/tex]
[tex] \boxed{ \pink{\rm :\implies\:x \: = \: 7}}[/tex]