A rectangle is 5/2 meters long and 4/5 of a meter wide. What is the total area, in square meters, of the rectangle?
To find the area of a rectangle, we multiply its length by its width. In this case, the length is 5/2 meters and the width is 4/5 of a meter.
So,
Area = length x width
Area = (5/2) meters x (4/5) meters
Area = (5/2) x (4/5) meters^2
Area = (20/10) meters^2
Area = 2 meters^2
Therefore, the total area of the rectangle is 2 square meters.
A home builder needs to cover the rectangular floor of a closet with a carpet. The closet is 4 yards long and 2/5 of a yard wide. How much carpet will the home builder need to cover the closet?
To find the area of the closet, we need to multiply its length by its width.
The length is given as 4 yards.
The width is given as 2/5 of a yard. We can convert this to yards by dividing by 3 (since there are 3 feet in a yard) and then multiplying by 2 (since 2/5 is equivalent to 0.4, and 0.4 multiplied by 3 is 1.2):
Width = (2/5) yards = (2/5) x (1/3) x 2 = (4/15) yards
So now we can find the area:
Area = length x width
Area = 4 yards x (4/15) yards
Area = (16/15) square yards
Therefore, the home builder will need (16/15) square yards of carpet to cover the closet.