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In ☐ABCD, side AB || side DC, seg AE ⊥ seg DC. If l(AB) = 9 cm, l(AE) = 10 cm, A(☐ABCD) = 115 cm^2 , find l(DC).

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In ☐ABCD, side AB || side DC, seg AE ⊥ seg DC. If l(AB) = 9 cm, l(AE) = 10 cm, A(☐ABCD) = 115 cm2 , find l(DC).

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Given, side AB || side DC. 

∴ ☐ABCD is a trapezium.

Given, l(AB) = 9 cm, l(AE) = 10 cm,

A(☐ABCD) = 115 cm2

Area of a trapezium

=\(\cfrac{1}{2}\) x sum of lengths of parallel sides x height

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