A rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet why is the answer reasonable
What answer?
A rectangular sand box has a length of 5 1/3 feet and a width of 3 3/4 feet, What is its perimeter?
To determine why the answer is reasonable, we need to consider the given values and the situation described.
First, let's calculate the area of the rectangular sand box using the formula:
Area = length * width
Using the given values:
Length = 5 1/3 feet = 16/3 feet
Width = 3 3/4 feet = 15/4 feet
Area = (16/3) * (15/4)
To figure out why the answer is reasonable, we need to evaluate the result.
Area = 80/3 square feet
The answer is reasonable because the area of the rectangular sand box is positive and makes sense in the context of the problem. The calculated area represents the total amount of sand needed to fill the sand box.
Additionally, the dimensions given (5 1/3 feet and 3 3/4 feet) are realistic for a sand box, and the resulting area (80/3 square feet) is a rational number, which is expected.
To determine if the answer is reasonable, we can calculate the area of the rectangular sandbox using the given dimensions.
To find the area of a rectangle, we multiply its length by its width.
Given:
Length = 5 1/3 feet
Width = 3 3/4 feet
First, we need to convert the mixed numbers into improper fractions:
Length = 5 1/3 = (5 * 3 + 1) / 3 = 16/3
Width = 3 3/4 = (3 * 4 + 3) / 4 = 15/4
Now, we can multiply the length and width to find the area:
Area = Length * Width
= (16/3) * (15/4)
= (16 * 15) / (3 * 4)
= 240/12
= 20
The area of the sandbox is 20 square feet.
To determine if the answer is reasonable, we can consider the dimensions of the sandbox. A rectangular sandbox with a length of 5 1/3 feet and a width of 3 3/4 feet is not too large or too small. It is within the range of common sandbox sizes that can accommodate children playing comfortably. Therefore, the answer of 20 square feet is reasonable for a rectangular sandbox with those dimensions.