Question

the area of a trapeziun is 112m2 and its height is 16m. if one of the parellel sides is 6cm the length of other parellel side is​

Answer 1

Answer:

I THINK THE ONE SIDE IS 6m NOT 6cm

SO I HAVE SOLVED THE QUESTION WITH 6m length of one parallel side...

AND THE ANSWER IS

The length of other parallel side is 8m

Step-by-step explanation:

AREA OF TRAPEZIUM = Half of the sum of two parallel sides multiply by height of trapezium.

= (a+b) x h

2

Given

• one side 6m
• let another side be x
• the area = 112m^2
• Height = 16m

Now

• Put the values in formula

6+x/2×16 = 112

6+x = 112/16 ×2

x = 14-6

x = 8

• so the value of x is 8m

Hence the other Parallel side is 8m.

Hope you get it Please thank and follow.

Answer 2

Correct Question :-

• The area of a trapeziun is 112m² and its height is 16m. if one of the parellel sides is 6m the length of other parellel side is

Given :-

• Shape = Trapezium
• Area of Trapezium = 112m²
• Height of Trapezium = 16m
• First Parallel Side = 6m

To Find :-

• Length of the Second Parallel Side

Solution :-

⇒ Area = ½ × Height × Sum of Sides

⇒ 112 = ½ × 16 × ( 6 + Parallel Side )

⇒ 112 × 2 = 16 × ( 6 + Parallel Side )

⇒ 224 = 16 × ( 6 + Parallel Side )

⇒ 224 ÷ 16 = 6 + Parallel Side

⇒ 14 = 6 + Parallel Side

⇒ 14 - 6 = Parallel Side

⇒ 8m = Parallel Side

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Verification :-

⇒ Area = ½ × Height × Sum of Sides

⇒ 112 = ½ × 16 × ( 6 + 8 )

⇒ 112 = ½ × 16 × 14

⇒ 112 = 8 × 14

⇒ 112 = 112

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Therefore, Second Parallel Side of the Trapezium is 8m

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