Respuesta :
The area of the garden is 33 ft².
The number of tiles required to cover the floor is 17 tiles.
The area of a dog pen is 170/9 square yards.
We need to find the area and perimeter for the given questions.
What are the formulas to find the perimeter and the area of a rectangle?
The formula to find the perimeter of a rectangle=2(Length+Breadth)
The formula to find the area of a rectangle=Length×Breadth.
Given that, a small garden has a perimeter of 24 1/4 ft and the length is 8 ft.
Now, perimeter = 2(8+Breadth)
⇒24 1/4=16+2×Breadth
⇒97/4-16=2×Breadth
⇒Breadth=97-64/4×2=33/8 ft
Now, Area=8×33/8=33 ft²
Therefore, the area of the garden is 33 ft².
Given that, the floor measures 4 1/2 ft by 3 3/4 ft.
The area of a floor=Length×Breadth=9/2×15/4=135/8 ft²
Number of tiles to cover the floor=135/8=16.875
Therefore, the number of tiles required to cover the floor is 17 tiles.
Given that, a dog pen is 3 1/3 yards wide by 5 2/3 yards long.
Now, the area of a dog pen=10/3×17/3=170/9 square yards.
Therefore, the area of a dog pen is 170/9 square yards.
To learn more about the area and the perimeter visit:
https://brainly.com/question/11957651.
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