Math, asked by nishtha283, 1 month ago

The area of a trapezium is 360 square m,the distance between two parallel sides is 20m and one of the side is 25 m. Find the other parallel side

Answers

Answered by AestheticSoul

Given :-

Area of trapezium = 360 m²
Distance between two parallel sides = 20 m
One of the side of the trapezium = 25 m

To find :-

Other side of the trapezium

Knowledge required :-

Formula of area of trapezium :-

⠀⠀⠀⠀Area = (a + b)/2 × h

where,

a and b area the two sides of the trapezium
h is the distance between two parallel sides

Solution :-

⠀⠀⠀⠀⠀⠀⇒ Area = (a + b)/2 × h

⠀⠀⠀⠀⠀⠀⇒ 360 = (20 + b)/2 × 25

⠀⠀⠀⠀⠀⠀⇒ 360 × 2 = 20 + b × 25

⠀⠀⠀⠀⠀⠀⇒ (360 × 2)/25 = 20 + b

⠀⠀⠀⠀⠀⠀⇒ 28.8 = 20 + b

⠀⠀⠀⠀⠀⠀⇒ 28.8 - 20 = b

⠀⠀⠀⠀⠀⠀⇒ 8.8 = b

The other side of the trapezium = 8.8 m

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Let's verify :-

Substitute the value of the side (8.8 m) in 360 = (20 + b)/2 × 25

Taking Rhs,

⠀⠀⠀⠀⠀⠀⇒ (20 + b)/2 × 25

⠀⠀⠀⠀⠀⠀⇒ (20 + 8.8)/2 × 25

⠀⠀⠀⠀⠀⠀⇒ 28.8/2 × 25

⠀⠀⠀⠀⠀⠀⇒ 14.4 × 25

⠀⠀⠀⠀⠀⠀⇒ 360

360 = 360

Lhs = Rhs

Hence, verified.

Answered by Anonymous

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Given :-

Area of trapezium = 360 m²

Distance between two parallel sides = 20 m

One of the side of the trapezium = 25 m