The length of a garden box is 6 feet longer than 4times the width. If the length of the garden box is 22 feet, what is the width
1 answer:
Answer:
Width of the garden box = 4 feet
Step-by-step explanation:
Given that:
Length of garden box = 22 feet
Let,
w be the width of garden box
It is also given that:
The length of a garden box is 6 feet longer than 4 times the width.
L = 4w + 6
Putting L = 22
22 = 4w + 6
22 - 6 = 4w
4w = 16
Dividing both sides by 4
Hence,
Width of the garden box = 4 feet
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<em>Complete Question:</em>
<em>You plant an 8-inch spruce tree that grows 4 inches per year and a 14-inch hemlock tree that grows 6 inches per year. </em>
<em>The initial heights are shown. </em>
Write a system of linear equations that represents this situation.
Answer:
Step-by-step explanation:
Given
Spruce Tree (s):
(yearly)
Hemlock Tree (h):
(yearly)
Required
Represent as system of linear equations
Let the number of years be x.
In both cases, the equation can be formed using:
For Spruce Tree (s):
For Hemlock Tree (h):
<em>Hence, the equations are </em><em> and </em>
<em></em>
So remember that the area of a trapezoid is , with b = bases and h = height. Before we can do the equation, however, we have to find the height. Using the right triangle, we can use the pythagorean theorem, which is
.
Since we know that the hypotenuse is 13 and one of the legs is 12, we can solve for the other leg. Our equation will look like this:
Firstly, solve the exponents:
Next, subtract 144 on both sides:
Next, square root both sides, and your height will be: x = 5
Now that we know both the height, 5, and the bases, 30 and 40, we can solve for the area of the trapezoid. Our equation will look like this:
Firstly, combine everything on the numerator:
Next, divide the fraction:
Next, multiply, and your answer will be A = 175 un^2.