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
SO THE ANSWER IS 15 CM.
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