A square is divided into three congruent rectangles as shown at the right. Each of the three rectangles has a perimeter of 16 me
ters. How many meters are in the perimeter of the square?
1 answer:
Answer:
Perimeter of square = 24 meter
Step-by-step explanation:
Given:
Square divided into three equal rectangle
Perimeter of rectangle = 16 meter
Find:
Perimeter of square
Computation:
We know that rectangle are equal
So,
3b = l
Perimeter of rectangle = 2 (l + b)
16 = 2 (l + b)
16 = 2 (3b + b)
b = 2 meter
l = 3 (2) = 6 meter
Side of square = 6 meter
Perimeter of square = 4(side)
Perimeter of square = 4(6)
Perimeter of square = 24 meter
You might be interested in
We have to calculate the fourth roots of this complex number:
We start by writing this number in exponential form:
Then, the exponential form is:
The formula for the roots of a complex number can be written (in polar form) as:
Then, for a fourth root, we will have n = 4 and k = 0, 1, 2 and 3.
To simplify the calculations, we start by calculating the fourth root of r:
<em>NOTE: It can not be simplified anymore, so we will leave it like this.</em>
Then, we calculate the arguments of the trigonometric functions:
We can now calculate for each value of k:
Answer:
The four roots in exponential form are
z0 = 18^(1/4)*e^(i*π/8)
z1 = 18^(1/4)*e^(i*5π/8)
z2 = 18^(1/4)*e^(i*9π/8)
z3 = 18^(1/4)*e^(i*13π/8)