Login/Sign Up
A large window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 metres find the dimensions of the rectangle that will produce the largest area of the window.
A large window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 metres find the dimensions of the rectangle that will produce the largest area of the window.
CBSE | Class 12 | Exercise 18.5 | Maths | Maxima and Minima | RD Sharma
A large window has the shape of a rectangle surmounted by an equilateral triangle. If the perimeter of the window is 12 metres find the dimensions of the rectangle that will produce the largest area of the window.

Let the dimensions of the rectangle be $x$ and $y.$

Therefore, the perimeter of window \[=\text{ }x\text{ }+\text{ }y\text{ }+\text{ }x\text{ }+\text{ }x\text{ }+\text{ }y\text{ }=\text{ }12\]

\[3x\text{ }+\text{ }2y\text{ }=\text{ }12\]

\[y\text{ }=\text{ }\left( 12\text{ }-\text{ }3x \right)/2\text{ }\ldots .\text{ }\left( 1 \right)\]

Now,

RD Sharma Solutions for Class 12 Maths Chapter 18 Maxima and Minima Image 52

RD Sharma Solutions for Class 12 Maths Chapter 18 Maxima and Minima Image 53

RD Sharma Solutions for Class 12 Maths Chapter 18 Maxima and Minima Image 54

i

More Material