Question

length of a rectangle is 6CM more than its width if the length and breadth is decreased by 3 cm the area of new rectangle decrease by 36 sq cm find the original length and breadth of the original rectangle

Answer 1

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Answer 2

Answer:

original length = 10.5 cm and width = 4.5 cm.

Step-by-step explanation:

Let l be the length and w be the width of the rectangle.

Then, the area of the rectangle is

A = lw.....(i)

Also, it has been given that length of a rectangle is 6 cm more than its width. Hence,

l = w + 6 .....(ii)

Now, the length and breadth is decreased by 3 cm the area of new rectangle decrease by 36 sq cm.

Thus, we have

(l-3) (w-3) = A - 36

Substituting the value of l and A

(w + 6 -3)(w-3) = lw - 36

(w+3)(w-3) = (w + 6) w - 36

w² - 9 = w² + 6w -36

6w = 27

w = 27/6

w = 4.5

From equation (i)

l = 4.5 + 6

l = 10.5

Thus, original length = 10.5 cm and width = 4.5 cm.