The dimensions of the actual wall is 12 feet wide and 8 feet high.
In Mathematics and Geometry, a scale factor can be determined through the division of the dimension of the image (new figure) by the dimension of the original or actual geometric figure (pre-image).
Mathematically, the formula for calculating the scale factor of any geometric object or figure is given by:
Scale factor = side length of image/side length of pre-image
1/16 = New height/Actual width
1/16 = (3/4)/Actual width
Actual width = 3/4 × 16
Actual width = 12 feet.
For the actual height, we have:
1/16 = New height/Actual height
1/16 = (1/2)/Actual height
Actual height = 1/2 × 16
Actual height = 8 feet.
Complete Question:
Liana's mom gave her permission to paint a mural on her bedroom wall, but first her mom wants to see what Liana is planning. She asks Liana to create a scale drawing of the wall with the mural. Liana created her scale drawing by using a scale factor of 1/16 . In her drawing, the wall is 3/4 foot wide and 1/2 foot high. What are the dimensions of the actual wall?