The shaded area is the repeated identity.

Based on the ratio, we can treat the Square's area as 3 units. But 3 is not exactly divisible by 5. So we multiply the ratio by 5

3 : 4 = 15 : 20

So we can say that the area of the square is 15 units, and the area of the rectangle is 20 units.

Now we know 1/5 of the square is shaded.

15 x 1/5 = 3.

Or

15 units ÷ 5 = 3 units


So 3 units are shaded.

Unshaded part of square = 15 units - 3 units = 12 units

Total area of figure
= Rectangle + unshaded part of Square
= 20 units + 12 units
= 32 units

Unshaded area = total area - shaded area
= 32 units - 3 units
= 29 units

So 29/32 of the figure is unhaded.

Fractions way :

shaded area = 1/5 x 3 = 3/5 units

The shaded area is also the overlapping area

Total area of figure
= Area of square + area of rectangle - area of overlap (to avoid double counting)

= 3 units + 4 units - 3/5 units
= 7 units - 3/5 units
= 6 2/5 units
= 32/5 units

Unshaded area

= Total area - shaded area
= 32/5 units - 3/5 units
= 29/5 units

Fraction of figure that is unshaded
= 3/25 ÷ 29/25
= 3/25 x 25/29
= 3/29


(This method is more advanced as it utilises the method of division of fractions, which is taught at P6)

Hi can you put the solution under answer or else I cannot ask another question.