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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.
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
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.