Answer/Step-by-step explanation:
Given that a and b are two corresponding sides of two similar figures, it follows that the ratio of their areas = a²/b².
We would use the above knowledge to solve the questions given as follows:
✔️The first pair similar of shapes:
Missing area = x cm²
Therefore,
x/9 = 8²/4²
x/9 = 64/16
x/9 = 4
Cross multiply
x = 4 × 9
x = 36 cm²
✔️The second pair similar of shapes:
Missing area = x cm²
Therefore,
x/240 = 8²/32²
x/240 = 64/1,024
Cross multiply
x*1,024 = 64*240
x*1,024 = 15,360
Divide both sides by 1,024
x = 15,360/1,024
x = 15 cm²
✔️The third pair similar of shapes:
Missing area = x cm²
Therefore,
x/40 = 3²/2²
x/40 = 9/4
Cross multiply
x*4 = 9*40
x*4 = 360
Divide both sides by 4
x = 360/4
x = 90 cm²