cubic watermelon are watermelon grown in to the shape of cube . This is generally intended for shape efficiency is small refrigerators. The practices of growing cube watermelon is popular in Japan . The melons are grown in boxes and assume the shape of the container . Normal watermelon are round in nature. Now if in a fridge two watermelon are placed in such as way that they forme a cuboid . The base of this cuboid is rectangle whose are is given by the experience A=2 × 2 + 12 × + 18 . (seen figure ) A =2 × 2 + 12 × + 18 . What is the type of experience ? question 1 a) Linear. b) quadratic c) cubic . question 2) If area of the based is A =2 × 2 +18 find the length and breadth of the rectangular base . a) (X+3) (2X-3) , B) (X+3) ( 2X+3) , C) (X+3) (2X+9) , d) none of this question 3 what is the value of X hear ? a) -2 , b) -5, c) -4 , d) -3 question 4 what will be the perimeter of the base of the cubicle watermelon ? a)6x + 9, b) 6x + 18 , c) 6x + 12 , d) 6x + 15 . question 5 what is the shape of watermelon? a) circle , b) sphere , c) ellipse , d) parabola
Answers
Given :- cubic watermelon are watermelon grown in to the shape of cube . in a fridge two watermelon are placed in such as way that they forme a cuboid . The base of this cuboid is rectangle whose are is given by the experience A=2x² + 12x + 18 .
To Find :-
1) What is the type of experience ?
a) Linear. b) quadratic c) cubic .
2) find the length and breadth of the rectangular base . a) (X+3) (2X-3) , B) (X+3) ( 2X+3) , C) (X+3) (2X+9) , d) none of these .
3) what is the value of x here ?
a) -2 , b) -5, c) -4 , d) -3
4) what will be the perimeter of the base of the cubicle watermelon ?
a)6x + 9, b) 6x + 18 , c) 6x + 12 , d) 6x + 15 .
5) what is the shape of watermelon ?
a) circle , b) sphere , c) ellipse , d) parabola .
Solution :-
given that,
→ Area of base = 2x² + 12x + 18 => Degree of area is 2 . therefore, it is a Quadratic polynomial . (Ans.1)
now,
→ A = (2x² + 12x + 18)
→ A = (2x² + 6x + 6x + 18)
→ A = 2x(x + 3) + 6(x + 3)
→ A = (x + 3)(2x + 6)
therefore, length and breadth of the rectangular base are (x + 3), (2x + 6)
hence, (d) None of these (Ans.2) .
now, putting A = 0, we get,
→ (x + 3)(2x + 6) = 0
putting both length and breadth equal to zero we get,
→ x + 3 = 0
→ x = (-3)
and,
→ 2x + 6 = 0
→ 2x = (-6)
→ x = (-3) .
hence, value of x here is (-3) . (Ans.3)
now,
→ Perimeter of base = 2(Length + Breadth) = 2(x + 3 + 2x + 6) = 2(3x + 9) = (6x + 18) (b) (Ans.4)
also, we know that, a watermelon is in the shape of a sphere . (Ans.5) .
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Answer:
Correct option is A)
Given,
Area of rectangle A=x
2
+7x+12
Length L=x+3
Breadth B=?
Area of rectangle A=L×B
⇒x
2
+7x+12=(x+2)×B
⇒B=
x+3
x
2
+7x+12
=
2+3
2
2
+7(2)+12
=
5
30
∴Breadth=6