Question

Match the closed shapes with their equivalent perimeter.

• A. 22 units
• B. 12 units
• C. 24 units

Answer 1

The first option is


This is a square.

Distance between A and B = absolute value of distance between x -coordinates of A and B

Coordinates of A and B are (3,7) and (9,7) respectively

= |(9-3)| = 6 units

Perimeter of square ABCD = 4 $\times$ side

= 4$\times$6 = 24 units

The next option is


This is a square.

Distance between A and B is the absolute value of the difference of x- coordinates
Coordinates of A and B are (3,6) and (6,6) respectively.

Side of square ABCD = |6 - 3| = 3 units

Perimeter = 4$\times$side = 4 $\times$ 3 = 12 units

The next option is


This is a rectangle

Length of the rectangle = distance between A and B

The coordinates of A and B are (1,7) and (8,7) respectively.

Length = difference of x-coordinates of A and B

= | 8-1| = 7 units

Width of the rectangle = Distance between B and C.

= |7-3| = 4 units

Hence, perimeter = 2(length+width) = 2(7+4) = 22 units