Qstnid -C-12- The Area Of A Trapezium Is 279 Sq.cm And The Distance Between Its Two Parallel Sides Is 18 Cm. If One Of Its Parallel Sides Is Longer Than The Other Side By 5 Cm, Find The Lengths Of Its Parallel Sides. - 20: Area Of Trapezium And A Polygon Class 8 Maths - Icse-viii-mathematics

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ICSE-VIII-Mathematics

20: Area of Trapezium and a Polygon Class 8 Maths

with Solutions - page 5

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#12
The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is 18 cm. If one of its parallel sides is longer than the other side by 5 cm, find the lengths of its parallel sides.
Ans : Area of trapezium = 279 sq.cm
Distance between two parallel lines (h) = 18 cm
∴ Sum of parallel sides = (Area × 2)/Height
= (279 × 2)/18
= 31 m
Let shorter side, CD = x
Then longer side = x + 5
∴ x + x + 5 = 31
⇒ 2x = 31 - 5 = 26
⇒ x = 26/2 = 13
∴ Shorter side = 13 cm
And longer side = 13 + 5
= 18 cm