Question

A 4 unit by 8 unit shaded rectangle is a scale drawing of a rectangle whose area is 288 square feet. What is the scale factor of the drawing, as a fraction?

Recall: Scale factor is the ratio of scale drawing: actual object. In this case ignore the units.

Answer 1

@jim_thompson5910

Answer 2

you agree that the `4 unit by 8 unit shaded rectangle` has an area of 8*4 = 32 square units, right?

Answer 3

i believe so

Answer 4

are you able to solve the equation `32k = 288` for k ?

Answer 5

i cant.

Answer 6

but ill try

Answer 7

divide both sides by 32

Answer 8

128 and 256

Answer 9

288/32 = ??

Answer 10

9

Answer 11

now we take the square root of this to get sqrt(9) = 3

Answer 12

the scale factor is 3

what does this mean? it means that 1 unit on the paper is equal to 3 feet in the real world

Answer 13

so 1:3

Answer 14

yes