Math, asked by biebie, 4 months ago

the area of a trapezium shaped field is 480m^2, the distance between two parallel sides is 15m and one of the parallel side is 20m . find the other parallel side.​

Answers

Answered by Champion55
7

Given :

⬤ Area of Trapezium is 480 m².

⬤ Distance between two Parallel Sides is 15 m.

⬤ One Parallel Side is 20 m

To Find :

⬤ Other Parallel Side .

Formula Used :

\sf[\:{Area\:of\: Trapezium=\dfrac{1}{2}\times{(Sum\:of\:Parallel\:Sides)}\times{h}\:]}

Solution :

  • One Parallel Side is 20 m

Let :

  • Second Parallel Side be x .

Now :

According to the Formula :

480 = ½ × (Sum of Parallel Sides) × Height

480 = 1/2 × (20 + x) × 15

480 × 2 = (20 + x) × 15

960 = 30 + 15x

960 - 300 = 15x

660 = 15x

660/15 = x

44 = x

Therefore , Second Parallel Side is 44 m .

Answered by Anonymous
173

⠀⠀⠀⠀⠀⠀⠀{\huge{\underbrace{\rm{Question}}}}

The area of a trapezium shaped field is 480m^2, the distance between two parallel sides is 15m and one of the parallel side is 20m . find the other parallel side.

⠀⠀⠀⠀⠀⠀⠀⠀{\huge{\underbrace{\rm{Answer}}}}

Given:

  • the area of a trapezium shaped field is 480 m²

  • the distance between two parallel sides is 15 m

  • one of the parallel side is 20m .

To find:

find the other parallel side.

Solution:

ABCD is a trapezium with parallel sides AB and CD

AB = 20 m and

Let the length of the other parallel side,CD be ' x ' m

  • Area of the trapezium ( A ) = 480 m²

  • Height of the trapezium ( h ) = 15 m

We know that ,

\boxed{\bf{\pink{Area\:of\:trapezium=\dfrac{AB+CD}{2}×h}}}

Where,

  • AB + CD = sum of parallel sides

  • h = height of the trapezium

ATQ,

\sf{:\implies 480=\dfrac{20+x}{2}×15}

\sf{:\implies \dfrac{2×480}{15}=20+x}

\sf{:\implies 64=20+x}

\sf{:\implies 20+x=64}

\sf{:\implies x=64-20}

\sf{:\implies x=44}

\boxed{\bf{\red{x\:=\:CD\:=44}}}

Hence,

{\pink{\underline{\underline{\purple{\textsf{\textbf{length\:of\:other\:parallel\:side\:is\:44\:m}}}}}}}

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