A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and widt

Question

3 years ago

8

A rectangle of length 10 units and width 5 units is shown. Inside this rectangle is another rectangle of length 9 units and widt

h 3 units placed symmetrically inside the larger rectangle. The smaller rectangle is shaded gray. If you choose a point inside the large rectangle, what is the probability that it is not inside the shaded rectangle?
24%
27%
46%
54%

Mathematics

2 answers:

vivado [14] · Answer 1 · 2022-02-05T06:37:55+03:00

vivado [14]3 years ago

8 0

Answer

46% is the answer. :)

beks73 [17] · Answer 2 · 2022-02-05T04:38:51+03:00

beks73 [17]3 years ago

5 0

Hi there!

First, we need to find the area of the rectangles.

10 × 5 = 50
9 × 3 = 27

Now, we find the percent of increase.

27 ÷ 50 = 0.54

Convert into a percentage:

0.54 = 54%

And subtract from 100%.

100% - 54% = 46%

The answer is 46%.

Hope this helps!