# 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?

1. 👍 0
2. 👎 0
3. 👁 398
1. Perimeter=w+2h+pi*w.2

area=lw+1/2 PI (w/2)^2
now go to the perimeter equation, and solve for l, then put it in the area equation?

1. 👍 0
2. 👎 0
👨‍🏫
bobpursley
2. 60.1

1. 👍 0
2. 👎 0

## Similar Questions

1. ### 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 cross-sectional area is A, determine the dimensions of the window

2. ### Geometry - Proofs

Given : ABCE is a rectangle. D is the midpoint of CE. Prove : AD is congruent to BD . Statements || Reasons 1. ABCE is a rectangle. D is the midpoint of CE . || 1. Given 2.

3. ### 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 20 ft, find the dimensions of the window so

4. ### Calculus

An architect wants to design a window in the shape of a rectangle capped by a semicircle. If the perimeter of the window is constrained to be 24 feet, what dimensions should the architect choose for the window in order to admit

1. ### 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 20 ft, find the dimensions of the window so

2. ### 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 30ft, find the dimensions of the window so

Consider a window the shape of which is a rectangle of height h surmounted a triangle having a height T that is 1.3 times the width w of the rectangle. If the cross-sectional area is A, determine the dimensions of the window which

4. ### calculus

A Norman window is constructed by adjoining a semicircle to the top of a rectangular window . (The diameter of the semicircle is the same as the width of the rectangular) If the perimeter of the Norman window is 20 ft, find the

1. ### Calculus

A rectangle is constructed with its base on the diameter of a semicircle with radius 5 cm and with two vertices on the semicircle. What are the dimensions of the rectangle with maximum area?

2. ### Precalc

# 1 a special window has the shape o a rectangle surmounted by an eqilatera tiangle. ifthe perimeter o the winow is 16 ft, what dimensions will admit te most light (area of triangle= suarre root of 3/4 times x2.

3. ### calculus - applied problems

Max area - A Norman window is constructed by adjoining a semicircle to the top of an ordinary rectangular window. Find the dimensions of a Norman window of maximum area if the total perimeter is 16 feet. - - - - - --------- ! ! ^

4. ### Pre-Calculus

A rectangular window is topped with a semicircle. The height of the rectangular part is 1 more than 3 times its width, w meters. Which function represents the total area, A, of the window in terms of the width?