Question

anika was shown a reduction of a complex figure.
image of two l - shaped figures: red with 60 cm, 35 cm, 25 cm; blue with 15 cm, a, b
figures not drawn to scale.
what can anika conclude about the scale factor and missing measurements? select three options.
□ the scale factor is 0.60.
□ the scale factor is 0.25.
□ the length of side a is 8.75 cm.
□ the length of side a is 21 cm.
□ the length of side b is 6.25 cm.

Explanation:

1. Scale Factor Calculation: The original height is 60 cm and the scaled height is 15 cm. Scale factor = $\frac{15}{60} = 0.25$. So the scale factor is 0.25 (eliminating the 0.60 option).
2. Length of Side A: Original side length for A's corresponding side is 35 cm. Scaled length = $35\times0.25 = 8.75$ cm. So side A is 8.75 cm (eliminating the 21 cm option).
3. Length of Side B: Original side length for B's corresponding side is 25 cm. Scaled length = $25\times0.25 = 6.25$ cm. So side B is 6.25 cm.

Answer:

The scale factor is 0.25, The length of side A is 8.75 cm, The length of side B is 6.25 cm.