NCERT Exemplar Solutions
Class 7 - Mathematics - Unit 9: Perimeter and Area

True or False

57. In Fig. 9.26, perimeter of (ii) is greater than that of (i), but its area is smaller than that of (i).

58. In Fig. 9.27,

(a) area of (i) is the same as the area of (ii).

(b) Perimeter of (ii) is the same as (i).

(c) If (ii) is divided into squares of unit length, then its area is 13 unit squares.

(d) Perimeter of (ii) is 18 units.

If perimeter of two parallelograms are equal, then their areas are also equal.

All congruent triangles are equal in area.

All parallelograms having equal areas have same perimeters.

All triangles have the same base and the same altitude.

All triangles are congruent.

All triangles are equal in area.

All triangles may not have the same perimeter.

In Fig. 9.29 ratio of the area of triangle ABC to the area of triangle ACD is the same as the ratio of base BC of triangle ABC to the base CD of triangle ACD.

Triangles having the same base have equal area.

Ratio of circumference of a circle to its radius is always 2π : 1.

5 hectare = 500 m².

An increase in perimeter of a figure always increases the area of the figure.

Two figures can have the same area but different perimeters.

Out of two figures if one has larger area, then its perimeter need not be larger than the other figure.