Question

Write the area (in square cm) of the shapes below.

Answer 1

We will ignore a square if it is less than half-filled but we will count the square as 1, if it is more than half-filled.

Figure A covers three squares that are more than half-filled, three squares that are less than half-filled, and three complete squares.

We know that an area of one complete square = 1 square cm
Area of figure A = area of three more than half-filled squares + area of three complete squares
= (3 + 3) square cm
= 6 square cm

Figure B covers four complete squares, eight squares that are half-filled, and four squares that are less than half-filled.
Area of figure B = area of four complete squares + area of eight half filled squares
= (4 + 4) square cm
= 8 square cm

Figure C covers two complete squares, two squares that are more than half-filled, and two squares that are less than half-filled.
Area of figure C = area of two complete squares + area of two squares more than half-filled
= (2 + 2) square cm
= 4 square cm

Figure D covers five complete squares and two squares that are half-filled.
Area of figure D = area of five complete squares + area of two half-filled squares
= (5 + 1) square cm
= 6 square cm

Figure E covers 18 complete squares and six squares that are half-filled.
Area of figure E = area of 18 complete squares + area of six half filled squares
= (18 + 3) square cm
= 21 square cm

Figure F covers four squares that are more than half-filled, four squares that are less than half-filled, and four complete squares.
Area of figure F = area of four squares more than half-filled squares + area of four complete squares
= (4 + 4) square cm
= 8 square cm