Question

The length of a rectangular hall exceeds its breadth by 7 m. If the breadth is decreased by 1 m and the length increased by 2 m, the area remains the same. Find the length and breadth of the hall.​

Answer 1

Explanation:

Let the length be :x+7

Let the breadth be:x

After addition and subtraction

Length:x+7+2=x+9

Breadth:x-1

A.T.Q

x(x+7) = (x+9)(x-1)

x²+7x = x(x-1)+9(x-1)

x²+7x = x²-x+9x-9

x²+7x-x²+8x = 9

8x-7x = 9

So, Breadth: 9m

So, Length :16m