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. [tex]\huge{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}[/tex]

   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

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2. Answer:

   28

   Step-by-step explanation:

   Area= 1/2 h(a+b)

   200= 1/2 ×8×(a+a+6)

   200=4(2a+6)

   50=2a+6

   44=2a

   a=22 cm

   Longer side a+6=28 cm

   hope this helps you….

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