Question

A museum curator needs to frame a rectangular painting. The painting is 30 inches by 17 inches. If the frame has a width of x on all sides, what is the quadratic function that models the area of the painting and frame?

Answer 1

Answer:

(30 + 2x) * (17 + 2x)

Step-by-step explanation:

Dimension of painting = 30 by 17 inches

Width of frame on all sides = x

Painting and frame takes the shape of a rectangle :

Area of rectangle = Length * Width

Area of painting = (30 * 17)

Area of frame ;

Length = (x + x) = 2x ;

Width = (x + x) = 2x

Area of frame = 2x * 2x

Equation for the Area of painting and frame :

(30 + 2x) * (17 + 2x)