Question

2. In the following figure, a triangle and a trapezium have equal bases and equal areas. Find the length of the other parallel side of the trapezium 13 cm 14 em 7 cm 15 cm.​

Answer 1

Answer:

9 inches

Let the altitude of both the Geometrical figure be h

As the Base of triangle is 18

∴ Area of △=

2

1

×18×h

Area of Trapezoid =

2

1

×(SumofparallelSide)×h

∵ Both the areas are equal by equating the area we get,

⟹

2

Sumofparallelside

×h=

2

1

×18×h

⟹

2

Sumofparallelside

=9inches