A rectangle or garden bed is 3 2/3' x 4.5'. Bricks that are half a foot wide are being laid inside the perimeter of the garden. what is the area of the garden bed inside the brick edging?
To find the area of the garden bed inside the brick edging, we first need to calculate the area of the garden bed and then subtract the area of the brick edging.
Let's start by calculating the area of the garden bed:
The length of the garden bed is given as 3 2/3 feet. We can convert this mixed fraction into an improper fraction: 3 2/3 = (3 * 3) + 2 / 3 = 11/3 feet.
The width of the garden bed is given as 4.5 feet.
To find the area, we multiply the length by the width:
Area of the garden bed = length x width
= (11/3) feet x 4.5 feet
To make the calculation easier, we multiply the whole numbers separately and multiply the fractions separately:
Area of the garden bed = (11/3) feet x 4.5 feet
= (11 x 4.5) / 3 feet^2
= 49.5/ 3 feet^2
= 16.5 feet^2
Now, let's calculate the area occupied by the brick edging:
The bricks are half a foot wide, so they will reduce the length and width of the garden bed by 1 foot since they are laid inside the perimeter.
Reduced length of garden bed = length - 1 foot
= 11/3 feet - 1 foot
= (11/3) - (3/3)
= 8/3 feet
Reduced width of garden bed = width - 1 foot
= 4.5 feet - 1 foot
= 3.5 feet
Now, let's calculate the area of the garden bed inside the brick edging:
Area inside brick edging = reduced length x reduced width
= (8/3) feet x 3.5 feet
= (8 x 3.5) / 3 feet^2
= 28/3 feet^2
= 9.33 feet^2 (rounded to two decimal places)
So, the area of the garden bed inside the brick edging is approximately 9.33 square feet.