Question

In Fig. 6.1, a square of side 1 cm is joined to a square of side 3 cm. The perimeter of the new figure is (A) 13 cm (B) 14 cm

Answer 1

Given,

2 different-sized squares are joined together.

Length of each side of the smaller square = 1 cm

Length of each side of the bigger square = 3 cm

To find,

The perimeter of the resultant figure.

Solution,

We can simply solve this mathematical problem using the following process:

As per mensuration;

The perimeter of a square

= 4 × (length of each side)

Now, according to the question;

When the two given squares are joined, then the perimeter of the resultant figure

= (perimeter of the bigger square) + (perimeter of the bigger square) - 2×(length of one side of the smaller square)

{the length of one side of the smaller square is subtracted two times because it is now merged between the two squares and not a part of the perimeter}

= {4 × (length of each side of the bigger square)} + {4 × (length of each side of the smaller square)} - 2×(length of each side of the smaller square)

= {4 × (3 cm)} + {4 × (1 cm)} - 2(1 cm)

= 12 cm + 4 cm - 2 cm

= 14 cm

Hence, the total perimeter of the resultant figure is equal to 14 centimeters.