SOLUTION: A window is to be formed by placing an isosceles right triangle on top of a rectangle as shown in the figure below. If the overall height of the window is 4 ft tall, express the a

Question 1022939: A window is to be formed by placing an isosceles right triangle on top of a rectangle as shown in the figure below. If the overall height of the window is 4 ft tall, express the area, A, of the window, in terms of its width w.

what I have so far:
Area of triangle: A=bh/2
Area of rectangle: A=lw
I know I have to add them but do I have to add the 4ft in there?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
Area of the rectangle: xy
Area of the triangle: (y(4-x)/2 or we can write it: 1/2(y(4-x)
So the area of your total figure is:
xy+1/2(y(4-x)= area
See the picture I made you:

RELATED QUESTIONS
The shape formed by placing a semicircle of radius 3ft. on top of a rectangle of length... (answered by JBarnum)

A window has the shape of a rectangle with a right isosceles triangle on top. If the area (answered by josgarithmetic)

A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the... (answered by josgarithmetic,ikleyn)

A window is to be constructed in the shape of an equilateral triangle on top of a... (answered by josgarithmetic,greenestamps)

A window is to be constructed in the shape of an equilateral triangle on top of a... (answered by ikleyn)

A Norman window has the shape of a rectangle surmounted by a semicircle, as shown in the... (answered by math_tutor2020,josgarithmetic,ikleyn)

An architect wants to design a window with an area of 24 square feet in the shape of a... (answered by ankor@dixie-net.com)

A stained - glass window is being designed in the shape of a rectangle surmounted by a... (answered by solver91311)

A stained-glass window is being designed in the shape of a rectangle surmounted by a... (answered by Jc0110)