Question

The length of a rectangle is the width minus 2 units. The area of the rectangle is 63 units. What is the length, in units, of the rectangle?

Answer 1

The length of rectangle is 7 units

Step-by-step explanation:

Given

Area: 63 units

Let

w be the width

and

l be the length

According to given statement,

l=w-2

$A= Length*Width\\Putting\ values\\63=(w-2)(w)\\w^2-2w=63\\w^2-2w-63=0\\w^2-9w+7w-63=0\\w(w-9)+7(w-9)=\\(w-9)(w+7)=0\\w-9=0 => w=9\\w+7=0 => w=-7$

As the width cannot be negative,

w=9

And

Length = w-2 = 9-2 = 7 units

The length of rectangle is 7 units

Keywords: Quadratic equation, Roots

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