Question

The area of rectangle reduces by 20 metre square if its length is increased by 1 metres and breadth is reduced by 2 metres, the area increases by 12 square if if its length is reduced buy 3 metres and breadth is increased by 4 metres find the dimensions of rectangle

Answer 1

The length of the rectangle is 15 m and the breadth is 12 m.

Step-by-step explanation:

Let the length of the rectangle be denoted as “l” m and the breadth be denoted as “b” m.

According to the first half of the question, we can write the equation as,

lb – [(l+1)*(b-2)] = 20

⇒ lb – [lb - 2l + b - 2] = 20

⇒ lb – lb + 2l – b + 2 = 20

⇒ 2l – b = 18 ……. (i)

According to the second half of the question, we can write the equation as,

[(l-3)*(b+4)] – lb = 12

⇒ [lb + 4l - 3b - 12] – lb = 12

⇒ lb + 4l - 3b - 12 – lb = 12

⇒ 4l – 3b = 24 ……. (ii)

Now, multiplying eq. (i) by 2 and then subtracting both eq. (i) & (ii), we get

4l – 2b = 36

4l – 3b = 24

-   +         -

------------------

    b = 12  

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Substituting the value of b in eq.(i), we get

2l – 12 = 18

⇒ 2l = 30

⇒ l = 30/2

⇒ l = 15  

Thus, the dimensions of the rectangle is 15m X 12 m.

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Answer 2

Answer:

Y

Step-by-step explanation:

T