Question

The figure below shows a shaded rectangular region inside a large rectangle:

( IDK on how to submit a picture but I'll explain it.)
The picture is a gray square that is 7 inches wide by 3 inches long. That gray square is inside a lighter square. The lighter square is 10 units long by 5 inches)
Help is much appreciated!


What is the probability that a point chosen inside the large rectangle is not in the shaded region?

Select one:
a. 42%
b. 58%
c. 72%
d. 84%

Answer 1

b. 58%

Explanation:

Calculate the area of the entire rectangle using the formula A = lw.

The lowercase "L" is for length.

"w" is for width.

The lighter square is 10 units long by 5 inches wide.

A = lw

A = (10 in)(5 in) Multiply

A = 50 in²

Calculate the area for the shaded rectangle, 7 inches by 3 inches.

A = lw

A = (7 in)(3 in) Multiply

A = 21 in²

Calculate the area for the non-shaded region by subtracting the shaded area from the total area.

50 in² - 21 in² = 29 in²

The chance that a point in the large rectangle will NOT be in the shaded region is 29/50.

Convert this fraction to decimal form by using a calculator. Divide the top number by the bottom number.

29/50 = 0.58

0.58 is in decimal form. To convert it to a percentage, multiply the number by 100.

0.58 = 58%

Therefore the probability that a point chosen inside the large rectangle is not in the shaded region is 58%.