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
Answers
Answer:
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Given
Sum of length of sides of trapezium is 15cm.
Area of trapezium is 15cm²
To Find
Perpendicular distance between parallel sides
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
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.