Answer:
The area of the door is 3.24 times the area of the window.
Step-by-step explanation:
The area of a recangle is given by the following formula:
area = width*length
While the perimeter is given by:
perimeter = 2*width + 2*length
Assumint the width of the window is x and the length of the window is y, it's area and perimeter are:
window area = x*y
window perimeter = 2*x + 2*y
Since each dimension of the door is 1.8 times the dimensions of the window, then the door width = 1.8x and the door length = 1.8y. So the area and the perimeter are:
door area = (1.8*x)*(1.8*y) = 3.24*x*y
door perimeter = 2*(1.8*x) + 2*(1.8*y) = 3.6*x + 3.6*y = 3.6*(x + y)
Since window area = x*y and window perimeter = (x + y), we have:
door area = 3.24*(window area)
door perimeter = 3.6*(window perimeter)
Therefore the correct answer is C. The area of the door is 3.24 times the area of the window.
