Answer:
312.5 cm²
Step-by-step explanation:
Since the figures are similar , then
ratio of heights = a : b
ratio of areas = a² : b²
Here linear ratio = 12 : 15 = 4 : 5 , then
ratio of areas = 4² : 5² = 16 : 25
let x be the area of B , the using proportion
[tex]\frac{200}{16}[/tex] = [tex]\frac{x}{25}[/tex] ( cross- multiply )
16x = 5000 ( divide both sides by 16 )
x = 312.5
Area of shape B is 312.5 cm²
