Question

Suruchi drew two sides of a shape. She asked Asif to complete the shape with two more sides, so that its area is 10 square cm. He completed the shape like this.





• Is he correct? Discuss.
• Explain how the green area is 4 square cm and the yellow area is 6 square cm.

Answer 1

• Yes, Asif is correct.

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

In the green portion, we have two complete squares and four half squares.

Area of one complete square = 1 square cm
So, total area of green portion = area of two complete squares + area of four half squares
= (2 + 2) square cm
= 4 square cm

In the yellow portion, we have three complete squares, three squares that are more than half-filled, and two squares that are less than half-filled.

Now, area of 1 complete square = 1 square cm

Area of the yellow portion = area of three complete squares + area of three squares more than half-filled
= (3 + 3) square cm
= 6 square cm