Question

the length of a varendah is 3m more than its width the numerical value of its area is equal to the numerical value of its perimeter (1) taking 'x' that represent the above e statement. (2)solve the equation in (1) above and hence find the dimension of the verandah

Answer 1

Answer:

Step-by-step explanation:

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.