A carpenter constructed a rectangular frame with an area of 10 m². If the carpenter wants to make a similar frame twice as long and twice as wide as the first frame, what would be the area of the second frame?
A
20 m²
B
40 m²
C
80 m²
D
100 m²
Correct Option:
B
Explanation
Similar figures scale in area as the square of their linear scale factor. If both length and width are doubled, the scale factor is 2, so the area becomes 2^2=4 times as large. Thus:
10×4=40 m^2.
A common exam trap is to double the area instead of squaring the linear factor.
