Fractional Relations

Transcript

Fractional Relations What fraction of area of the whole square does the shaded region occupy? Okay, so this can be done using estimation We divide The blue square box is 1/4 of the big box ∴ Area of blue square = 𝟏/𝟒 × Area of big square And, yellow square is half of blue square Area of yellow square = 1/2 × Area of big square = 1/2 × 1/4 × Area of big square = 𝟏/𝟖 × Area of big square Now, if we divide yellow triangle into 4 parts We notice that the shaded region is occupies 𝟑/𝟒 of yellow triangle Thus, Area of yellow square = 3/4 × Area of yellow square = 3/4 × 1/8 × Area of big square = (3 × 1)/(4 × 8) × Area of big square = 𝟑/𝟑𝟐 × Area of big square Thus, the shaded region occupies 3/32 of the area of the whole square.