Question

The length of a rectangle is 1 meter more than its breadth. its area is 3 3/4 square meter. what are its length and breadth

Answer 1

The length and the breadth of the rectangle is equal to 2.5 and 1.5 respectively

Explanation:

• Let us consider the length of the rectangle to be x and the breadth of the rectangle to be x-1.

• Area of a rectangle = length x breadth. = X(X-1)

• In other words, x(x-1) = 3 3/4 or 15/4

Or x²-x-15/4= 0

Or x²- 5x/2 + 3x/2 - 15/4= 0

Or x(x- 5/2)+3/2(x- 5/2) =0

Or (x+3/2) •(x-5/2) =0

Or, x= {5/2, -3/2}

• as the value of length can never be negative hence the value of the length of the rectangle is equal to 2.5m and the breadth of the rectangle is 1.5 metre

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