Question

In the given figure 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?

Answer 1

We have given each square is of unit length, where length = 10 units and breadth = 6 units

(a) Perimeter of ABCD = 2 (length + breadth)

= 2(10 + 6) units

= 2 × 16 units = 32 units

(b) Area of ABCD = length × breadth

= (10 × 6) sq units = 60 sq units

(c) Since, there are several ways to divide this rectangle into 10 parts, from which one of the ways is shown below :

So, the above figure shows that there are 10 part$ of equal area i.e., E, F, G, H, I, J, K, L, M and N.

(d) The perimeter of each part is 12 units. Yes, the perimeter of each part is equal.