# The area of a 6 cm by 4 cm rectangle is to be doubled. by what equal length mus each dimension be increased? PLEASE SHOW ME YOUR SOLUTION and btw our topic is about quadratic equations :)

1
by kisseyofficial

• Brainly User
2015-09-02T23:48:20+08:00

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Area of rectagnle = (L) (W)
Area = (6cm) (4 cm)
Area = 24 cm²

If area is to be doubled, with equal length added to  each dimension:

Let x = length added to each dimension
6 + x = length
4 + x = width
2 (24) = area doubled

Equation:
2 (24) = (6 + x) (4 + x)
48 = 24 + 6x + 4x + x²

Rewrite to standard form:
x² + 10x + 24-48 = 0
x² + 10x - 24 = 0

Factor:
(x - 2) (x + 12) = 0
x - 2 = 0                       x + 12 = 0
x = 2                            x = -12

Choose the positive root for distance, that is,  x=2

Therefore, each dimension must be increased by 2 cms. to double the area from the original area given :-)

omggg thanks so mucchhhh ^_^