Question

25. The area of the square is one third the area of the rectangle. Find x.

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Answer 1

Step-by-step explanation:

• side of the square = x

• length of the rectangle = 2(x+4)
• breadth of the rectangle = x-2

area of square = x²

area of rectangle = lb

= (2(x+4))(x-2)

= (2x+8)(x-2)

= 2x(x-2)+8(x-2)

= 2x² -4x + 8x -16

= 2x² + 4x - 16

given,

area of square = (1/3) area of rectangle

x² = 1/3(2x² + 4x - 16)

3x² = 2x² + 4x - 16

3x² - 2x² - 4x + 16 = 0

x² - 4x + 16 = 0