Question

Can anyone pls help me with this problem?

Answer 1

144 ft²

Explanation:

Compare the following ratio for each of the polygons:

Area : side length

non-shaded shaded

54 : 6 = Area : 16

↓ multiply the left ratio by a number (16/6 which simplifies to 8/3) such that its right side is 16

`(54 : 6)\left((8)/(3) \right) = Area : 16`

`144 : 16 = Area : 16`

We can identify that the values
`Area` and 144 correspond (they are equal to each other) when comparing these ratios.

Hence, the area of the shaded polygon is 144 ft².