Areas of Similar Figures For each pair of similar figures fi

Areas of Similar Figures For each pair of similar figures, find the area of the shaded figure.

Solution

Since area is a square value and length is a unit value, then in similar figures, (L1/L2)² = A1/A2

1) (16/3)² = 38/x. Therefore x = 38*9/256 = 1.33m².

2) (20/30)² = 200/x. Therefore x = 200*900/400 = 450inch².

3) (x/7)² = 70/30. Therefore x² = 70*49/30 = 114.33. x = 10.69cm

4) (x/8/)² = 750/72. Therefore x² = 64*50/72 = 44.44 . x = 6.67 m