Question

(a) How many different shapes can you draw? ______________
(b) Which shape has the longest perimeter? How much? _____________ cm
(c) Which shape has the shortest perimeter?
How much? _____________ cm
(d) What is the area of the shapes? ____________ square cm. That's simple!

Answer 1

(a)
There are 12 different shapes that can be drawn using 5 squares.



(b)
Among all the 12 shapes, there is only one shape, figure (d) that has the smallest perimeter, but all the other shapes have same and longest perimeter.

Longest perimeter of each 11 shapes = (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) cm
= 12 cm

(c)
The figure (d) has the smallest perimeter.
Perimeter of figure (d) = (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) cm
= 10 cm

(d)
We find that each of the 12 shapes covers 5 complete squares.
Area of 1 complete square = 1 square cm
Area of 5 complete squares = 1 × 5 square cm
= 5 square cm

Area of each shape = Area of 5 complete squares
= 5 square cm