A family is having a pool built in their backyard. If their yard is rectangular and measures 7x by 6x and the pool is circular with a radius of 2x how much of the yard will be left over after the pool is built? The answer needs to in factored form.
so whats the actual answer
woah, look at the dates for each reply OwO
The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, which equation below could be used to find the depth of the pool?
a circular mirror is surrounded by a square metal frame. the radius of the mirror is 5x. the side length of the metal frame is 20x. what is the area of the metal frame
I know right ^
the answer is 42x^2-4pix^2 i just took the test and it was correct!
To find out how much of the yard will be left over after the pool is built, we need to calculate the area of the yard and subtract the area of the pool.
1. Calculate the area of the yard:
The yard is rectangular with dimensions 7x by 6x. To calculate the area of a rectangle, we multiply the length by the width.
Area of the yard = length × width = 7x × 6x = 42x^2.
2. Calculate the area of the pool:
The pool is circular with a radius of 2x. To calculate the area of a circle, we use the formula:
Area of the pool = π × radius^2.
Since the radius is 2x, the area of the pool is:
Area of the pool = π × (2x)^2 = 4πx^2.
3. Calculate the remaining area:
To find the area of the yard left over after the pool is built, we subtract the area of the pool from the area of the yard.
Remaining area = Area of the yard - Area of the pool = 42x^2 - 4πx^2.
Therefore, the amount of the yard left over after the pool is built is:
Remaining area = (42 - 4π)x^2, in factored form.