Maths / Areas Of Parallelograms And Triangles / Figures on the Same Base and Between the Same Parallels

QUESTION

 In the figure, ABED is a rectangle and ABCF is a parallelogram. if AB=4 cm and BE=3 cm, then the area of ABCF IS
 OPTIONS A. 12$\dpi{80} \fn_phv cm^2$ B. 7 $\dpi{80} \fn_phv cm^2$ C. $\dpi{80} \fn_phv 6cm^2$ D. $\dpi{80} \fn_phv 14cm^2$
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

As ABED is a rectangle with base AB = 4cm and height BE = 3cm

Area of ABED = 4 X 3 = 12 sq. cm.

The rectangle ABED and ABCF are on the same base AB and between the same parallels AB || CD.

The areas are equal so the area of ABCF = 12 sq. cm.

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