In Fig. 9.19, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4cm respectively. If EF = 10 cm, then area of EFGH is
a. 20 cm²
b. 32 cm²
c. 40 cm²
d. 80 cm²

Solution:

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

In parallelogram EFGH,

EF = HG = 10 cm

We know that

Area of parallelogram EFGH = Base × Corresponding height

Substituting the values

= 10 × 4

= 40 cm²

Therefore, the area of EFGH is 40 cm².

✦ Try This: 10 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 12

In Fig. 9.19, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4cm respectively. If EF = 10 cm, then area of EFGH is a. 20 cm², b. 32 cm², c. 40 cm², d. 80 cm²

Summary:

In Fig. 9.19, EFGH is a parallelogram, altitudes FK and FI are 8 cm and 4cm respectively. If EF = 10 cm, then area of EFGH is 40 cm²

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