Question

The parallel sides of a trapezium are 10 m and 16 m respectively. The distance between the parallel side is 8 m. Find the area of trapezium​

Answer 1

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The parallel sides of a trapezium are 10 m and 16 m respectively. The distance between the parallel side is 8 m. Find the area of trapezium

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Area of trapezium is 104m²

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• Parallel sides of trapezium is 10m and 16m
• Height of trapezium = 8m

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• Area of trapezium

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Area of trapezium =

$\bf \frac{1}{2} \times sum \: of \: parallel \: sides \: \times height$

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Parallel sides of trapezium is 10m and 16m

Height of trapezium = 8m

Area of trapezium

$\bf \frac{1}{2} \times sum \: of \: parallel \: sides \: \times height$

$\bf \implies \frac{1}{2} \times (10 + 16) \times 8$

$\bf \implies 26 \times 4$

$\bf \implies {104m}^{2}$

Therefore, Area of Trapezium is 104m²

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Answer 2

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Question

The parallel sides of a trapezium are 10 m and 16 m respectively. The distance between the parallel side is 8 m. Find the area of trapezium

Answer : 104m² .

$\LARGE\fbox\blue{Given :-}$

→ Parallel side of trapezium ( b₁ and b₂ ) = 10m and 16m .

→ Distance between the parallel side ( h ) = 8m .

$\Large\fbox\blue{To find :-}$

→ Area of the trapezium .

$\LARGE\fbox\blue{Solution :-}$

$\Large\bold\red{We\:know\:that :-}$

∵ Area of trapezium = 1/2( sum of parallel side ) × ( distance between the paralle side ) .

= $\frac{1}{2} (b₁ + b₂) \times (h)$

= $\frac{1}{2} (10 + 16) \times 8$

= 26 × 4 .

= 104 m² .

$\Large\bold\red{Hence,\:it\:is\:solved:}$

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