1) IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with t
hat area? Set 1:
Set 2:
Explain your thinking:
1) The frame is being enlarged to hang on a gallery wall. Using the scale factor of 1in=2.5ft., give the new dimensions of the outside edges of the frame. Explain and show your work! Work:
Explain your thinking:
New Dimensions: 5in. = ___________ 7in=___________
There are infinite possibilities for this answer, let's see how: Assuming the frame is rectangular, and it has 64 square inches, then the multiplication of the height (H) and width (W) is 64. So H*W=64, therefore H=64/W Any pair of numbers that fits this equation will be a possible answer. A few examples: H=1; W=64 H=2; W=32 H=1,23456; W= 51,840338 H=4; W=16 H=8; W=8 etc.
So, for example, one set can be 8x8 inches another set can be 4x16 inches
if the frame were to have 5 inches and 7 inches, since 1 inch correponds to 2.5ft, then we simply must multiply the values in inches per 2.5 to get the values in feet, then it would correspond to 5*2.5=12.5 ft and 7*2.5=17.5 ft
