Question

The area of a trapezium shaped field is 480m², the distance between two parallel sides is 15m and one of the parallel side is 20m. Find the other parallel side.​

Answer 1

Given:-

$\sf{⟶}$ Area of a trapezium shaped field is 480m².

$\sf{⟶}$ The distance between two parallel sides is 15m.

$\sf{⟶}$ One of the parallel side is 20m.

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To find:-

$\sf{⟶}$ Other parallel side.

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Solution:-

One of the parallel sides of the trapezium is a = 20m, let another parallel side be b, height h = 15m.

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The given area of trapezium $\sf{= 480m^2}$.

Area of trapezium $=\sf{\dfrac{1}{2}h(a + b)}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀$\sf{480 =\dfrac{1}{2} × 15 × (20 + b)}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀$\sf{64 = 20 + b}$

⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀$\sf{b = 64 - 20}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀$\sf{b = 44}$

Hence, the other parallel side of the trapezium is 44m.