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15. Areas of Parallelograms
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Q2 of 77 Page 15

In Q. No. 1, if AD=6 cm, CF=10 cm and AE=8 cm, find AB.

Area of parallelogram ABCD = AD * CF (i)

Again,


Area of parallelogram ABCD = DC * AE (ii)


From (i) and (ii), we get


AD * CF = DC * AF


6 * 10 = CD * 8


CD =


= 7.5 cm


Therefore,


AB = DC = 7.5 cm (Opposite sides of parallelogram are equal)


More from this chapter

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1

Which of the following figures lie on the same base and between the same parallel. In such a case, write the common base and two parallel:


1

If Fig. 15.26, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB=16 cm, AE=8 cm and CF=10 cm, find AD.

3

Let ABCD be a parallelogram of area 124 cm2. If E and F are the mid-points of sides AB and CD respectively, then find the area of parallelogram AEFD.

4

If ABCD is a parallelogram, then prove that

ar(Δ ABD) = ar(Δ BCD) = ar(Δ ABC)=ar(Δ ACD) = ar(||gm ABCD)

Questions · 77
15. Areas of Parallelograms
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