Question

Question of Quadrilaterals, can't understand, please help me. :(


Please answer with full steps and explaination.

Answer 1

From the figure:

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!