Question

er two sides such that
Prove that the perimeter of a right angled triangle of given hypotenuse is maximum when triangle
10.
is isosceles
11.
ICBSE Sample Paper 20001
12.
(CBSE 2002
[CBSE Sample Paper 2004)
Two sides of a triangle have lengths and to and the angle between them is o What value
will maximize the area of the triangle. Also find the maximum area of the triangle
Find the dimensions of the rectangle of area 96 sq cm and least perimeter. Find the perimeter also
13. A rectangle is inscribed in a semi-circle of radius r with one of its sides on the diameter of the
semi-circle. Find the dimension of the rectangle so that its area is maximum Also find this area
Given the sum of the perimeter of a square and a circle; show that the sum of their areas is least
when the side of the square is equal to diameter of the circle.
[CBSE Sample Paper 2010, AICBSE 2008C)
15. (:) A tank with open surface and square base is to contain 500 cubic feet of water. Find the least
cost of lining it with tin at the rate of Rs. 60 per sq. feet.
(it) A metal box with a square base and vertical sides is to contain 1024 cm°. The material for
the top and bottom costs Rs. 5 per emº and the material for the sides costs Rs. 250 per
cm? Find the least cost of the box.
16. If 40 sq. feet of sheet metal are to be used in the construction of an open tank with a square base
;
find the dimensions for maximum volume.
17. A rectangular sheet of tin 45 cm by 24 cm is to be made into a box without top by cutting off
squares from the corners and folding up the flaps. What should be the side of the square to be
cut off so that the volume of the box is maximum possible.
8. A wire of length 36 cm. is cut into two pieces. One of the pieces is to be made into a square and
other into an equilateral triangle. Find the length of each piece so that the sum of the areas of
(CBSE 2005, Sample Paper 2003)
the square and the triangle is minimum.
ICBSE 2017)​

Answer 1

Answer:

this was the following length of rectangle with length metre long and I am very sorry about that but we have good news and breadth length is the best thing for me