If a rectangular office space is 72 feet wide and has a 410 foot perimeter what is its area
To find the area of a rectangular office space, we need to know the length of the room. However, since only the width and perimeter are provided in the question, we will need to solve for the length first.
A rectangular room has two sets of equal-length sides. So, let's represent the length of the room as 'L.' To find the perimeter, we add up the lengths of all four sides:
Perimeter of a rectangle = 2 * (length + width)
Since the width is given as 72 feet and the perimeter is given as 410 feet, we can set up an equation to solve for the length:
410 = 2 * (L + 72)
Now let's solve for L:
410 = 2L + 144
410 - 144 = 2L
266 = 2L
L = 266 / 2
L = 133
So, the length of the rectangular office space is 133 feet.
Now that we have both the width and the length, we can calculate the area of the room using the formula:
Area of a rectangle = length * width
Area = 133 * 72 = 9596
Therefore, the area of the rectangular office space is 9596 square feet.
To find the area of a rectangular office space, we need to know the length of both its sides. In this case, we only have the width, which is 72 feet.
Let's assume the length of the office space is "l" feet.
To find the perimeter, we add up the lengths of all four sides of the rectangle.
Perimeter of a rectangle = 2(length + width)
Using the given information, we can set up the equation:
410 = 2(l + 72)
Now, let's solve for "l" by isolating it:
410 = 2l + 144
410 - 144 = 2l
266 = 2l
Divide both sides of the equation by 2:
266/2 = 2l/2
133 = l
The length of the office space is 133 feet.
Finally, we can find the area of the rectangle using the formula:
Area = length × width
Area = 133 ft × 72 ft
Area = 9576 square feet
Therefore, the area of the rectangular office space is 9576 square feet.
If the perimeter is 1400 and the office is 72 feet wide.
72*2(since there are two sides with that length)=144 feet
410-144=266
133/2=66.5.
The length is 628 feet and the width is 72.
66.5*72=Area.