Question

The area of a trapezium is 1586 sq m. The dustine between its parell sides is 20 cm. If one of the pareles side, is 84 em than find other side​

Answer 1

APPROPRIATE QUESTION-:

The area of a trapezium is 1586 m² The distance between its parallel sides is 20 m. If one of the parallel side is 84 m than ,find other side​

EXPLANATION-:

Here-:

• S₁=84 m
• S₂=?
• Height =20 m
• Area=1586 m₂

Area of Trapezium is given by-:

$\leadsto \mathfrak{Area_{(Trapezium)}=\frac{1}{2}\times (S_1+S_2)\times h}}}\\\\\tt Here\;\underbrace{\bf\; h=height\;\;\;and\;\;\;S_1\;and\;S_1\;are\;sides}$

Putting values in the formula-:

⇒1586=(84+S₂)/2×20

⇒1586=(84+S₂)×10

⇒1586/10=84+1S₂

⇒793/5-84=S₂

$\longrightarrow \boxed{\bf\; S_2=\frac{373}{5}\;OR\;\;74.6\;m}$

∴The second side is 74.6 m

Answer 2

Answer:

84

Step-by-step explanation:

Given:

Area of the trapezium =1586 cm2 

Distance between the parallel sides =26 cm 

And, length of one parallel side =38 cm 

Let us suppose the length of the other side to be x cm.

Now, area of the trapezium =21× (Sum of the parallel sides)× (Distance between the parallel sides)

⇒1586=21×(38+x)×26

⇒1586=226×(38+x)

⇒13×(38+x)=1586

⇒38+x=131586

⇒38+x=122

⇒x=122−38=84 cm

Hence, the length of the other parallel side is 84 cm.

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