Question

Area of a trapezium with parallel side 4cm and 11cm and perpendicular distance between them is 12cm

Answer 1

Answer:

90cm² is the area

Explanation:

Given

• First parallel side = 4cm
• Second parallel side = 11cm
• Distance between the parallel sides = 12 cm

To Find

• Area of the trapezium

Solution

The distance between the parallel sides is the height of the trapezium.

Area of a trapezium = 1/2 × height ( Sum of parallel sides )

Area = 1/2 × 12cm ( 4cm + 11cm )

Area = 6cm ( 4cm + 11cm )

Area = 6cm ( 15cm )

Area = 90 cm²

90cm² is the area

Answer 2

Question :-

• What is the Area of a trapezium with parallel side 4cm and 11cm and perpendicular distance between them is 12cm.

Given :-

• First Parallel Side = 4cm
• Second Parallel Side = 11cm
• Perpendicular distance between the parallel side ( height ) = 12cm

To Find :-

• Area of the Trapezium with given dimensions.

Solution :-

${:} \longrightarrow \sf \boxed{\bf{Area \: of \: Trapezium \: = \: \dfrac{1}{2} \times Height \: \times ( Sum\: of\: parallel \:sides) }}$

${:} \longrightarrow \sf {\sf{Area \: of \: Trapezium \: = \: \dfrac{1}{2} \times\: 12 \: \times ( 4\: + \: 11) }}$

${:} \longrightarrow \sf {\sf{Area \: of \: Trapezium \: = \: \dfrac{1}{2} \times\: 12 \: \times15 }}$

${:} \longrightarrow \sf {\sf{Area \: of \: Trapezium \: = \: \dfrac{1}{ \cancel2} \times\: \cancel{12} \: \times15 }}$

${:} \longrightarrow \sf {\sf{Area \: of \: Trapezium \: = \: 6 \: \times15 }}$

${:} \longrightarrow \sf {\bf{Area \: of \: Trapezium \: = \: 90cm^{2} }}$

━━━━━━━━━━━━━━━━━━━━━━━━━

$\begin{gathered}\begin{gathered} \therefore\: \sf{Area \: of \: Trapezium \: \: = \underline {\underline{ 90cm^{2}}}}\\\end{gathered}\end{gathered}$

━━━━━━━━━━━━━━━━━━━━━━━━━

More For Knowledge :-

• Area of Square = Side x Side
• Area of Rectangle = Length × Breadth
• Area of Triangle = ½ × base x height
• Area of parallelogram = base x height
• Area of circle = πr²
• Area of Rhombus = ½ × product of its diagonals
• Area of Trapezium = ½ × height × sum of parallel sides
• Area of Polygon = sum of the area of all regions into which it is divided

━━━━━━━━━━━━━━━━━━━━━━━━━