MATH SOLVE

4 months ago

Q:
# ANSWER ASAP WILL MARK AS BRAINLEST 99 POINTSA point is selected at random inside the given figure. What is the probability the point will be in the region labeled B? Enter your answer, as a fraction in simplest form, in the box. P(B) = The figure is a rectangle that is made up of three rectangles and one square. The rectangles are labeled A, B, and D, and the square is labeled C. Rectangle A is in the upper left portion of the large rectangle. The left side of rectangle A is labeled 5 inches and it is part of the left side of the large rectangle. Rectangle B is in the lower left portion of the large rectangle below rectangle A. The lower side of rectangle B is labeled 3 inches and makes up a part of the lower side of the large rectangle. Rectangle D makes up the right side of the large rectangle and is to the right of rectangle A. The upper side of rectangle D is labeled 3 inches and makes up a part of the upper side of the large rectangle. The right side of rectangle D makes up the entire right side of the large rectangle. Square C lies below rectangle A and between rectangles B and D. The lower side of square C is labeled 4 inches and makes up part of the lower side of the big rectangle. The right side of square C is also labeled 4 inches.

Accepted Solution

A:

P(B) = 2/15

The area of rectangle A is 5(7) = 35 in².

The area of rectangle B is 3(4) = 12 in²

The area of square C is 4(4) = 16 in²

The area of rectangle D is 3(9) = 27 in²

The total area of the figure is 35+12+16+27 = 90 in².

The probability of hitting B is 12/90 which simplifies to 2/15.

The area of rectangle A is 5(7) = 35 in².

The area of rectangle B is 3(4) = 12 in²

The area of square C is 4(4) = 16 in²

The area of rectangle D is 3(9) = 27 in²

The total area of the figure is 35+12+16+27 = 90 in².

The probability of hitting B is 12/90 which simplifies to 2/15.