Rectangle STUV has square PQRS removed, leaving an area of 92 m^2. Side PT is 4 m in length and side RV is 8m in length. What is the area of rectangle STUV.

side of square = √92 ( because side×side is area

If PT is 4m then ST = 8m

RV = 3×√92

:. Area of rectangle = 8 × 3 × √92

= 24√92 = 230.19 m^2 is the area .

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional

if the probability is 1/12, 75 people will receive a $25 gift card

step-by-step explanation: