The sum of length of the parallel sides of a trapezium is 15 cm. If it

1.	The sum of length of the parallel sides of a trapezium is 15 cm. If its area is 15 cm², find the perpendicular distance between them
Answer» Given Sum of length of sides of trapezium is 15cm. AREA of trapezium is 15cm² To Find Perpendicular distance between parallel sides $\sf\huge\bold{\underline{\underline{{Solution}}}}$ We will apply formula here of area of trapezium and PUT given VALUES in the formula missing values which is distance between parallel sides can be find. Area of trapezium =1/2 ×(distance between parallel sides)×(sum of parallel sides) =>15=1/2×(distance between parallel sides)×(sum of parallel sides) =>15=1/2×(distance between parallel sides)×15 =>15/15 ×2=distance between parallel sides =>2=distance between parallel sides ∴ Perpendicular Distance between the parallel sides is $\bold{\red{2cm}}$ Check =>1/2×2×15 =>1/2×30 =15cm² Extra information=> Trapezium having two parallel sides and two non-parallel sides. Sum of all the angles in a trapezium is 360°. Area is Space or region which is covered by a SOLID object/figure it is said to be area of that object. Area depends upon the DIMENSIONS of the figure.If dimensions is larger then larger will be the area of that object/figure and vice -versa.

The sum of length of the parallel sides of a trapezium is 15 cm. If its area is 15 cm², find the perpendicular distance between them

Answer»

Given

Sum of length of sides of trapezium is 15cm.

AREA of trapezium is 15cm²

To Find

Perpendicular distance between parallel sides

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

We will apply formula here of area of trapezium and PUT given VALUES in the formula missing values which is distance between parallel sides can be find.

Area of trapezium =1/2 ×(distance between parallel sides)×(sum of parallel sides)

=>15=1/2×(distance between parallel sides)×(sum of parallel sides)

=>15=1/2×(distance between parallel sides)×15

=>15/15 ×2=distance between parallel sides

=>2=distance between parallel sides

∴ Perpendicular Distance between the parallel sides is $\bold{\red{2cm}}$

Check

=>1/2×2×15

=>1/2×30

=15cm²

Extra information=>

Trapezium having two parallel sides and two non-parallel sides.
Sum of all the angles in a trapezium is 360°.

Area is Space or region which is covered by a SOLID object/figure it is said to be area of that object.

Area depends upon the DIMENSIONS of the figure.If dimensions is larger then larger will be the area of that object/figure and vice -versa.