Question

The area of a trapezium is 180 sq cm and its height is 9 cm. If one of its parallel sides is 17 cm long, the length of other side is ______. ​

Answer 1

Answer:

23cm

Step-by-step explanation:

let the lenght of other side is=x

area of trapezium=1/2×(sum of parallel side)×height

180=1/2×(17+x)×9

180×2=(17+X)×9

360/9=17+X

40-17=X

23CM=X

length of other side is=x=23cn

Answer 2

$\bigstar \underline{\underline{\sf \bf Given:-}}$

• Area of trapezium = 180sq.cm.
• Height = 9cm.
• Length of one parallel side = 17cm

$\bigstar \underline{\underline{\sf \bf To\ Find:-}}$

• Length of other side

$\bigstar \underline{\underline{\sf \bf Solution:-}}$

We know :

$\mapsto \boxed{\boxed{\sf Area\ of\ trapezium=\frac{1}{2}(sum\ of \ parallel\ sides)\times h}}$

Let the two parallel sides be 'x'&'y'.

Acc to question :

$\\\\ :\implies \sf Area=\frac{1}{2} (x+y)\times h\\\\:\implies \sf 180=\frac{1}{2} (17+y)\times 9\\\\:\implies \sf 360 =(17+y)\times 9\\\\:\implies \sf \frac{360}{9} =17+y\\\\:\implies \sf 40=17+y\\\\:\implies \sf y=40-17\\\\:\implies \underline{\bold{y=23.}}$

Hence, the length of other side is 23cm.

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More Shots:-

=> Trapezium : A quadrilateral with one pair of parallel sides.

=> Perimeter of trapezium = sum of lengths of sides.

=> No.of.vertices=4

=> No.of.edges=4

=> Area of rectangle = length×breadth

=> Area of square = (side)²

=> Area of triangle = 1/2(b)(h)

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HOPE IT HELPS !