Question

The game board below has a length of 21 cm long and a width of 7 cm long. Both triangles have a base and height of 5 cm, and the square has a side length of 4 cm.

If it is equally likely that a die will land on any spot on the board, and the die does not land outside of the board, approximately what is the probability of a die landing in neither the triangles nor the square?
A.
0.89
B.
0.72
C.
0.28
D.
0.83

Answer 1

Try drawing it, it should help

Answer 2

bruh i just need to know if its a b c or d

Answer 3

We don't give direct answers here

Answer 4

tuff

Answer 5

Yep, it's against the policy. Here hold up

Answer 6

i just got on here

Answer 7

@TheSmartOne I got nothing for this one.

Answer 8

https://media.studyisland.com/pics/283324num2.png

image indicates that none of the shapes overlap which makes this an easy calculation

"probability that the die will not land in either the triangles or the square" ---> find the area inside the board, but not enclosed in either the triangles or square, or in other words:

(area of board) - 2*(area of one triangle) - (area of square)

then divide by the total area of the board to get the probability

some useful formulas:

area of a rectangle: L*W, where L and W are length and width
area of a square: s^2, where s = side length
area of triangle: (1/2)bh, where b and h are base and height