Question

A window has the shape of a rectangle surmounted by an equilateral triangle. Its
perimeter is 12 m. Let x and y be respectively the length and breadth of the
rectangle.
Based on the above information answer the following:
(i) the relation between x and y is:
(a) 3x + 2y = 12 (b) 4x+2y =12 (c) 3y +2x =12 (d) 4y + 2x = 12
3
4y2
(ii) area of the window in terms of x and y is:
V3y2
(a) xy
(b) xy + v3x?
4x?
(c) xy +
d
(iii) area of the window as a function in x alone is:
(a) 6x + root3-6/4.x^2 (b) 6x^2 + v3-6x (c)6x^2 + 2x (d) 6x + 6-v3/4.x^2
(iv) For maximum area length of the rectangle is:
6+3
12
m
(b)
m (c) m
(d)
12
6-
m
(v) For maximum area breath of the rectangle is:
(a)
18-63
6+3
m
18+63
1-3
(c)
6-√3
(d) m
6-13
12
(b)
m
18-65m

Answer 1

Answer:

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