a rectangle has an area of 330m^2 , one side is 7 m longer than the other

what are the dimensions of this rectangle

1 answer

a = first side

b = second side

A = Area

b = a + 7

A = a * b

A = a * ( a + 7 )

A = a ^ 2 + 7 a

a ^ 2 + 7 a = 330

a ^ 2 + 7 a - 330 = 0

The exact solutions are:

a = -22

and

a = 15

The length can't be negative, so

a = 15 m

b = a + 7

b = 15 + 7

b = 22 m

A = a * b

A = 15 * 22

A = 330 m ^ 2

P.S.

If you don't know how to solve equation

a^2+7a-330=0

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quadratic equation online

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Free Online Quadratic Equation Solver:Solve by Quadratic Formula

When page be open in rectangle type:

a^2+7a-330=0

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You wil see solution step-by-step