Question

question 7
1 pts
the triangles are similar. the area of the larger triangle is 563 ft². find the area of the smaller triangle to the nearest whole number.
24 ft
21 ft
not drawn to scale
576 ft²
441 ft²
431 ft²
735 ft²

Explanation:

Step1: Find scale factor

The scale factor from larger to smaller triangle is $\frac{21}{24} = \frac{7}{8}$.

Step2: Calculate area ratio

Area ratio = $(\frac{7}{8})^2 = \frac{49}{64}$.

Step3: Compute smaller area

Smaller area = $563 \times \frac{49}{64} \approx 431$.

Answer:

431 ft²