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The length of a rectangle is 3 cm more than the breadth and area of the rectangle is 180 sq cm. If side of a square is 3 cm more than length of the re
Question


The length of a rectangle is 3 cm more than the breadth and area of the rectangle is 180 sq cm. If side of a square is 3 cm more than length of the rectangle, then find the area (in sq cm) of the square.

A.

256

B.

225

C.

324

D.

361

E.

400

Correct option is C


Let breadth of the rectangle = x cm
So, length of the rectangle = (x+3) cm
ATQ –
x(x+3)=180
x ² + 3x – 180 =0
x ²+ 15x – 12x – 180 = 0
x = 12
So, length of rectangle = 15 cm
And, side of square = 15 + 3 = 18 cm
Required area = 18 ² = 324 cm ²

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