SOLUTION: HELP!! The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.

Question 172425: HELP!!
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.

Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Question:
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 95 cm2, find the dimensions of the rectangle to the nearest thousandth.
Answer:
Area of a rectangle is given by the formula,
A = length * width
Given, A =
length = 4 cm more than 3 times its width

Let us assume that width = x cm

==> length = 3x + 4 (because, length = 4 cm more than 3 times its width)

so... area = length * width = (3x + 4) * x
95 = (3x + 4) * x
==> 95 = 3x*x + 4* x

==>

==>
this is a quadratic equation, you can solve it using quadratic formula
==>
==>
==>

==>

==> or

==> or

==> or
here u can take the value x= 5 since negative value cant be a length measure

so width = 5 cm

and length = 3*5 + 4 = 15 + 4 = 19

so the dimensions are 19 cm and 5cm

hence the answer.

hope u found it useful.

Regards.

Praseena

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