Question

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field

Answer 1

Length of the rectangle = 120m and breadth = 90m. The diagonal is 150m.

Step-by-step explanation:

Let the shorter side of the rectangle be x, then diagonal will be x + 60, and the longer side will be x + 30.

The diagonal is the hypotenuse of a right-handled triangle.

So (x+60)² = x² + (x+30)²

x² + 120x + 3600 = x² + x² + 60x + 900

x² -60x - 2700 = 0

x² -90x +30x - 2700 = 0

x (x - 90) +30 (x -90) = 0

(x - 90) (x +30) = 0

So x can be +90 or -30.

Since side is not negative, x = 90m.

Length of the rectangle will be 120m and breadth will be 90m. The diagonal will be 150m.

Answer 2

Answer:

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