Your parents decide they would like to install a rectangular swimming pool in the backyard. There is a 15-foot by 20-foot rectan
gular area available. Your parents request a 3-foot edge around each side of the pool. Draw a diagram of this situation in a coordinate plane. What is the perimeter and area of the largest swimming pool that will fit?
1 answer:
Answer:
- perimeter: 46 ft
- area: 126 ft²
Step-by-step explanation:
Since the 3 ft edge is on both sides of the pool, each dimension of the pool is 6 ft shorter than the corresponding dimension of the space. The pool will be 15 ft -6 ft = 9 ft in one direction and 20 ft -6 ft = 14 ft in the other direction.
The perimeter of the pool is the sum of its side lengths:
P = 9 ft + 14 ft + 9 ft + 14 ft = 2(9 ft +14 ft) = 2(23 ft)
P = 46 ft
__
The area of the pool is the product of its length and width:
A = (14 ft)(9 ft) = 126 ft²
The perimeter and area are 46 ft and 126 ft², respectively.
You might be interested in
Answer:
x =
Step-by-step explanation:
2x – 4 – (x + 2) = 6x is the given equation
Now simplifying both sides, we get
2x - 4 - x - 2 = 6x
taking like terms on each side of the equality, we get
2x - x - 6x = 4 + 2
or, -5x = 6
or x =
hence, the value of x =
<h2>The required equation of line is 2x - 3y - 9 = 0.</h2>
Step-by-step explanation:
Here, slope(m) = and y - intercept(c) = -3
To find, the required equation of line = ?
We know that,
The equation of a line with slope m and y-intercept c is given by
y = mx + c
∴ The required equation of line
y = x + (- 3)
⇒ y = x - 3
⇒ y + 3 = x
⇒ 3(y + 3) = 2x
⇒ 3y + 9 = 2x
⇒ 2x - 3y - 9 = 0
Thus, the required equation of line is 2x - 3y - 9 = 0.