Question

jasmine is tiling the shaded part of her bathroom floor. what is the shaded area of the figure? a) 24 m² b) 30 m² c) 26 m² d) 20 m²

Explanation:

Step1: Consider the large square

The side - length of the large square is 6m, so its area $A_{total}=6\times6 = 36m^{2}$.

Step2: Consider the non - shaded part

The non - shaded part can be composed into a square with side - length 2m. Its area $A_{non - shaded}=2\times2 = 4m^{2}$.

Step3: Calculate the shaded area

The shaded area $A = A_{total}-A_{non - shaded}=36 - 4=30m^{2}$.

Answer:

b) 30 m²