Area of parallelogram ABCD (Fig. 9.16) is not equal to
a. DE × DC
b. BE × AD
c. BF × DC
d. BE × BC

Solution:

A parallelogram is defined as a quadrilateral in which both pairs of opposite sides are parallel and equal.

We know that

Area of parallelogram = base × height

From the figure

Area of parallelogram ABCD = AD × BE

As AD = BC

Area of parallelogram ABCD = BC × BE

Or

Area of parallelogram ABCD = DC × BF

Therefore, the area of parallelogram is not equal to DE × DC.

✦ Try This: 49 unit squares are joined to form a rectangle with the least perimeter. Perimeter of the rectangle is

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11

NCERT Exemplar Class 7 Maths Chapter 9 Problem 8

Area of parallelogram ABCD (Fig. 9.16) is not equal to a. DE × DC, b. BE × AD, c. BF × DC, d. BE × BC

Summary:

Area of parallelogram ABCD (Fig. 9.16) is not equal to DE × DC

☛ Related Questions:

• Area of triangle MNO of Fig. 9.17 is a. 1/2 MN x NO, b. 1/2 NO x MO, c. 1/2 MN x OQ, d. 1/2 NO x OQ
• Ratio of area of ∆MNO to the area of parallelogram MNOP in the same figure 9.17 is a. 2 : 3, b. 1 : . . . .
• Ratio of areas of ∆MNO, ∆MOP and ∆MPQ in Fig. 9.18 is a. 2 : 1 : 3, b. 1 : 3 : 2, c. 2 : 3 : 1, d. 1 . . . .