Question

The length of a rectangle is 2 units more than the width. The area of the rectangle is 35 units. What is the width, in units, of the rectangle ?

Answer 1

The width in units of the rectangle is 7.

Calculation of the width:

Since the length of a rectangle is 2 units more than the width. The area of the rectangle is 35 units.

Here we assume the width be x and the length be 2 + x

We know that

Area = $length \times width$

$35 = x(2x + x)$

$x^2+2x-35=0\\\\x^2+7x-5x-35=0$

$x(x+7)-5(x+7)=0\\\\(x+7)(x-5)=0$

x= -7,5

So, the width be 7 units

hence, The width in units of the rectangle is 7.

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