Question

A 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. 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.

Answer 1

Answer:. 12/90. Or about 13.3%

Step-by-step explanation: If I interpreted your description correctly, and put the dimensions in the correct places, the large rectangle has an overall width of 10 inches and length of 9 inches. The Total Area is 90 sq in.

The rectangle Region B is 3 (given) by 4 (assumed from shared side with the given square) . So the Area of region B is 12 sq in.

The chance of randomly selecting a point is the ratio of the Area of the selected region to the Total Area. In this example, it's 12/90, simplified to 2/15 or about 13.3%