PreCalculus
posted by SpencerCH .
A window has the shape of a square surmounted by an isosceles triangle. The sides of the square are length x. The The perimeter of the window is 90 inches. Thus, the perimeter of the triangle is x+2y. So, 90 inches = 3x+2y.
(a) Write an equation for the area of the window in terms of x and y.
(b) Use the fact that the perimeter of the window is 90 inches to write the area as a function
of only x.
(c) In this situation, what is the largest that x can be? What is the smallest x can be?
THANK YOU FOR ANY AND ALL HELP!
Respond to this Question
Similar Questions

calculus
A Norman window has the shape of a rectangle surmounted by a semicircle as in the figure below. If the perimeter of the window is 37 ft, express the area, A, as a function of the width, x, of the window. How do you do this problem? 
calculus
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 30ft, find the dimensions of the window so that the greatest possible amount of light is admitted. I keep screwing up in creating … 
calculus
Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is 1.1 times the width w of the rectangle If the crosssectional area is A, determine the dimensions of the window which … 
Calculus
A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus, the diameter of the semicircle is equal to the width of the rectangle.) If the perimeter of the window is 25 ft, find the dimensions of the window so that … 
math
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 16.200 ft. give the area A of the window in square feet when the width is 3.000 ft. 
Calculus 1
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 32 ft, express the area A of the window as a function of the width x of the window. 
MATH HELP
A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window is 50.700 ft. give the area A of the window in square feet when the width is 8.800 ft. Give the answer to two decimal places. 
Math
In the accompanying diagram, the perimeter of isosceles triangle MNO is equal to the perimeter of square ABCD. If the sides of the triangle are represented by 4x+4 , 5x3, 17 and one side of the square is represented by 3x, find the … 
Differential Calculus
A norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the window 10 m, express the area A of the window as the function of width x of the window. 
calculus
Consider a window the shape of which is a rectangle of height h surmounted by a triangle having a height T that is .3 times the width w of the rectangle If the crosssectional area is A, determine the dimensions of the window which …