Question

which figures have the same area but different perimeters? figure a figure b figure c figure d figures b and c figures a and b figures a and c figures b and d

Explanation:

Step1: Count unit - squares for area

Assume each small square has an area of 1 square unit. Count the number of small squares in each figure.
Figure A: 8 unit - squares.
Figure B: 8 unit - squares.
Figure C: 9 unit - squares.
Figure D: 8 unit - squares.

Step2: Count outer - side lengths for perimeter

Count the number of outer - side lengths of the small squares for perimeter.
Figure A: 14 unit - lengths.
Figure B: 16 unit - lengths.
Figure D: 14 unit - lengths.

Answer:

A. Figures B and D