The area of a trapezium is 126cm. The height of the trapezium is 7cm. If one of the bases is longer than the other by 6cm, find th

2 thoughts on “The area of a trapezium is 126cm. The height of the trapezium is 7cm. If one of the bases is longer than the other by 6cm, find th”

1. Answer:

   Given: Area of trapezium = 105 cm2 and h = 7 cm

   Let the length of shorter side be x cm

   Then the length of longer side is (x + 6) cm

   Therefore sum of parallel sides = x + x + 6 = 2x + 6.

   Now, Area = 105

   Hence, the length of shorter side = 12 cm

   And the longer side is = 12 + 6 = 18 cm.

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2. Answer:

   Length of bases are 15 cm and 21 cm.

   Step-by-step explanation:

   Answer :-

   Length of bases are 15 cm and 21 cm.

   Step-by-step explanation :-

   To find :-

   Length of bases.

   Solution :-

   Given that,

   Area of trapezium is 126 cm².

   Height of trapezium is 7 cm.

   Let, Other base be x cm.

   And One base be x + 6 cm.

   If the height 7 cm have two bases and height is of trapezium then the x and x + 6 are parallel sides of trapezium.

   We know,

   Area of trapezium = (a + b)/2 × h

   Put area, height and bases (parallel sides) of trapezium in formula :

   ⟶ 126 = (x + x + 6)/2 × 7

   ⟶ 126 × 2 = 2x + 6 × 7

   ⟶ 252 = 2x + 6 × 7

   ⟶ 252/7 = 2x + 6

   ⟶ 36 = 2x + 6

   ⟶ 36 – 6 = 2x

   ⟶ 30 = 2x

   ⟶ 30/2 = x

   ⟶ x = 15

   Length of bases :-

   One base = x + 6 = 15 + 6 = 21 cm

   Other base = x = 15 cm

   I hope this will help you dear..

   Always stay safe and stay healthy..

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