The two circles are equally inscribe inside a rectangle which means that its length is equals to the diameter of a circle and the width is two tines the diameter of a circle.
A. The area of the rectangle using the R. is Area = 2R*4R
B. The perimeter is express as Perimeter = 2(2R*4R)
Your (third) selection is correct. Just only refer the value of x to get the value of y dependently.
So if you just use a calculator and put 375 divided by 30% you’ll get the answer but the answer is 0
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
