In Fig. 6.18 each square is of unit length
(a) What is the perimeter of the rectangle ABCD?
(b) What is the area of the rectangle ABCD?
(c) Divide this rectangle into ten parts of equal area by shading squares.
(Two parts of equal area are shown here)
(d) Find the perimeter of each part which you have divided. Are they all equal?
Given each square is of unit length. Figure contains length of 10 squares and width of 6 squares.
Length of rectangle = AD = BC
Sum of length of side of 10 squares = 10 units
Breadth = 6 units.
(a) Perimeter of rectangle = 2 × (l + b)
= 2 × (10 + 6)
= 32 units.
(b) Area of rectangle = 10 × 6
= 60 sq.units
(c)
The rectangle is divided into 10 equal parts of 6 sq.units.
(d) Perimeter of the figure can be found as follows:
Perimeter = 1 + 1+1 +1 +1 +1 +1 +1 +1 +1 +1 +1
= 12 units.
Yes all parts have same perimeter.