Question

PLEASE HELP ASAP!!!!! IM CONFUSED AND GOT IT WRONG

Teams A and B are playing a game in a gym by tossing beanbags. Tape is placed on the gym floor to mark off the areas in which the
teams can score points, as shown in the diagram.


Rectangle A represents the area in which Team A can score points. Rectangle Brepresents the area in which team can score points
The place where both rectangles overlap is the area in which both teams can score points

• The area of Rectangle A is 105 square meters
• The area of Rectangle B is 8.4 square meters
• The area of the overlap of Rectangles A and B is 3/25 the area of Rectangle A
What is the total area in square meters of the gym floor that is marked off by tape? Show all your work
Enter your answer and your work in the space provided

Answer 1

18.9 square meters

Explanation:

I think you mean that the area of the Rectangle A is 10.5 not 105.

10.5+ 8.4- 1.26= 18.9

Where I got the 1.26 from?

3/25 the area of Rectangle A is area of the overlap of the rectangles. Which means we have to divide 10.5 by 25 and multiply by 3. That gives us 1.26.

I hope this is helpful.

Answer 2

Area of the gym floor = 100.8 square meters

Explanation:

Area of the gym floor = Area of rectangle A + Area of rectangle B - Area of the overlap

Area of rectangle A = 105 square meters

Area of rectangle B = 8.4 square meters

Area of the overlap =
`(3)/(25)* (\text{Area of rectangle A})`

=
`(3)/(25)* 105`

= 12.6 square meters

Area of the gym floor = 105 + 8.4 - 12.6

= 100.8 square meters

Therefore, area of the gym floor is 100.8 square meters.