A rectangular pool has a length 2m shorter than twice its width.
a.) write an expression to determine the pool's perimeter. What is it's perimeter?
b.) write an expression to determine the surface area of the pool. What is the surface area?
P = 2L + 2W
P = 2(2W - 2) + 2W
P = 6W - 4
A = LW
A = (2W-2) * W
so the answer for a is 6w-4 and for b its (2w-2)*w or do i need to find the actual answer cause i don't know how to get it
You can't find the actual answers with the information that was given.
ok thank you so much :)
You're very welcome.
a.) Let's assume the width of the pool is represented by 'w'. According to the problem, the length of the pool is 2m shorter than twice its width, so the length can be represented as '2w - 2'. To determine the perimeter of the pool, we add up all the sides, which are: 2 sides of length 'w' and 2 sides of length '2w - 2'. Hence, the expression for the perimeter is given by:
P = 2w + 2(2w - 2)
b.) To calculate the surface area of the pool, we multiply the length and width of the rectangle. Therefore, the expression for the surface area is given by:
A = w(2w - 2)
Now, let's plug in some values to determine the perimeter and surface area.
Assuming the width of the pool is 4 meters:
a.) P = 2(4) + 2(2(4) - 2) = 8 + 2(8 - 2) = 8 + 2(6) = 8 + 12 = 20 meters (perimeter)
b.) A = 4(2(4) - 2) = 4(8 - 2) = 4(6) = 24 square meters (surface area)
a.) To determine the pool's perimeter, we need to add up the lengths of all four sides of the rectangle.
Let's denote the width of the pool as 'w' (in meters).
According to the given information, the length of the pool is 2m shorter than twice its width. So, the length can be determined as (2w - 2).
The perimeter is calculated by adding up the lengths of all four sides of the rectangle, which is given by:
Perimeter = 2w + 2(2w - 2)
Simplifying the expression, we have:
Perimeter = 2w + 4w - 4
Perimeter = 6w - 4
b.) To determine the surface area of the pool, we need to multiply the length and width of the rectangle.
The length of the pool is (2w - 2), and the width is 'w'. So, the surface area is given by:
Surface Area = (2w - 2) * w
Simplifying the expression, we have:
Surface Area = 2w^2 - 2w
Now, let's substitute 'w' with a specific value to find the perimeter and surface area.
Note: The values of 'w' are not provided in the question.