Question

The width of a rectangle is 7 centimeters less than twice its length. Its area is 30 square centimeters. Find the dimensions of the rectangle.

Answer 1

I hope the answer is correct.

Answer 2

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Let the Length of the rectangle is x cm

so Breadth is = (2x - 7) cm

Area of the rectangle = 30 sq. cm
As we know the formula
Area = L x B
$x \times (2x - 7) = 30 \\ 2x {}^{2} - 7x - 30 = 0 \\ 2x {}^{2} - 12x + 5x - 30 = 0 \\ 2x(x - 6) + 5(x - 6) = 0 \\ (x - 6)(2x + 5) = 0 \\ x = 6 \: and \: \frac{ - 5}{2} \\ as \: length \: is \: not \: negative \: so \\ x = 6$
Length = 6 cm

Breadth = (2x 6 - 7).
= (12 - 7)
= 5 cm

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