Advertisements
Advertisements
प्रश्न
The length of verandah is 3m more than its breadth. The numerical value of its area is equal to the numerical value of its perimeter.
(i) Taking x, breadth of the verandah write an equation in ‘x’ that represents the above statement.
(ii) Solve the equation obtained in above and hence find the dimension of verandah.
Advertisements
उत्तर
Let breadth = xm, length = (x + 3)m.
Area = x (x + 3) sq.m.
Perimeter = 2(x + x + 3) = (4x + 6)m.
According to the question, x(x + 3) = 4x + 6
⇒ x2 - x - 6 = 0
⇒ (x + 2) (x ++ 3) = 0
∴ x = 3 and x = -2 (inadmissiable).
Hence breadth = 3m, length = 6m.
संबंधित प्रश्न
Solve for x
:`1/((x-1)(x-2))+1/((x-2)(x-3))=2/3` , x ≠ 1,2,3
Solve the following quadratic equations by factorization:
`4sqrt3x^2+5x-2sqrt3=0`
Solve the following quadratic equations by factorization:
(a + b)2x2 - 4abx - (a - b)2 = 0
The product of Shikha's age five years ago and her age 8 years later is 30, her age at both times being given in years. Find her present age.
Solve the following equation :
`sqrt 2 "x"^2 - 3"x" - 2 sqrt 2 = 0`
Solve the following equation : x2 + 2ab = (2a + b)x
Solve the following equation: abx2 +(b2-ac) x - bc = 0
The age of a man is twice the square of the age of his son. Eight years hence, the age of the man will be 4 years more than three times the age of his son. Find the present age.
At t minutes past 2 pm, the time needed by the minutes hand of a clock to show 3 pm was found to be 3 minutes less than `t^2/4` minutes. Find t.
Which of the following is correct for the equation `1/(x - 3) - 1/(x + 5) = 1`?
