Advertisements
Advertisements
Question
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
Solution
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.
RELATED QUESTIONS
Find two consecutive multiples of 3 whose product is 648.
The difference of two natural number is 3 and the difference of their reciprocals is `3/28`Find the numbers.
Solve the following quadratic equations by factorization: \[\frac{3}{x + 1} + \frac{4}{x - 1} = \frac{29}{4x - 1}; x \neq 1, - 1, \frac{1}{4}\]
Solve the following quadratic equation using formula method only
x2 - 6x + 4 = 0
Solve equation using factorisation method:
`6/x = 1 + x`
Solve equation using factorisation method:
`4/(x + 2) - 1/(x + 3) = 4/(2x + 1)`
Solve the following quadratic equation by factorization method : `"x"^2 - 5"x" - 36 = 0`
The speed of an express train is x km/hr arid the speed of an ordinary train is 12 km/hr less than that of the express train. If the ordinary train takes one hour longer than the express train to cover a distance of 240 km, find the speed of the express train.
Solve the following equation by factorization
x(6x – 1) = 35
Solve the following equation by factorization
6p2+ 11p – 10 = 0
