Question

Jorge draws a rectangle measuring 3 ft. by 2 ft. Then, he dilates the rectangle so it is 7.5 ft. by 5 ft. If x represents the area of the original rectangle, which expression can he use to discover the area of the dilated rectangle?(1 point)
Responses

x(1.5)2
𝑥
(
1.5
)
2
x left parenthesis 1.5 right parenthesis squared

x(2.5)2
𝑥
(
2.5
)
2
x left parenthesis 2.5 right parenthesis squared

x(2.5)
𝑥
(
2.5
)
x left parenthesis 2.5 right parenthesis

x+(2.5)2

Answer 1

Scale factor = 7.5/3 = 2.5. Areas scale by the square of the linear scale, so the dilated area = x*(2.5)^2. (Numerically: 6*(2.5)^2 = 37.5 ft².)