The diagram shows a scale drawing of a playground. in the scale drawing the playground has a length of 16 cm and a width of 8 cm. the area of the actual playground is 72 square meters what is the scale of the drawing?

The scale of the drawing is

 or  

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z-----> the scale drawing

x-----> the area of the playground in the scale drawing

y----> the area of the actual playground

we have

substitute

simplify

or

Divide by 4 both numerator and denominator

72 fudge and 75 toffee

step-by-step explanation:

i hope this : )