V U
T
In square QRST, points U and V are midpoints. If the square has a side length of 14.6 mm, what is the probability
that a point chosen at random in the square lies in the shaded triangle region? Round the answer to the nearest
thousandth
A. 0.034
B. 0.068
C. 0.125
D 0.548

JKLM is a square with sides of length 6 units. Points A and B are the midpoints of sides KL and ML, respectively. If a point is selected at random from the interior of the square.

We have to find the probability that the point will be chosen from the interior of △JAB.

Now,

Area of square JKLM is equal to 6

2

=36 sq.units

Now, we have

ar(△KAJ)=

2

1

×AK×KJ

=

2

1

×3×6=9sq.unit

ar(△JMB)=

2

1

×JM×BM

=

2

1

×6×3=9sq.unit

ar(△AJB)=36−9−9−

2

9

=18−

2

9

=

2

36−9

=

2

27

sq.units.

We know that probability=

Totalnumberofevent

Numberoffavourableevent

=

36

2

27

=

2×36

27

=

8

3

Hence the probability that the point will be chosen from the interior of △AJB is

8

3

hope it helps

the barter

answer: input the dimensions of the room to be painted. click the button to calculate the amount of paint and man-hours needed for this job.

interior paint coverage depends on the brand of paint used. the coverage amount is listed on the label of the paint can. use this to adjust the values in the paint coverage section below. paint usually is applied at 350 to 400 square feet per gallon (primer at 200 to 300 square feet per gallon).

step-by-step explanation: