Question of Quadrilaterals, can't understand, please help me. :(
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Please answer with full steps and explaination.
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EF lies between AB and CD.i.e the length of halfway between that of AB and CD, so
EF = a+b/2
Area of ABFE = 1/2(a+a+b/2)h
Area of EFCD = 1/2(b+a+b/2)h
ratios are : Area of ABFE/Area of EFCD = 1/2(a+a+b/2)h/1/2(b+a+b/2)h
= 1/8(3a+b)h/1/8(a+3b)/h
= (3a+b)/(a+3b).
Hope this helps!