Question

The length of a rectangular garden is 6 meters more than the width of the garden. If the area of the garden is 55 square meters what are the dimensions of the garden? State the unite of the dimensionssolve by using a quadratic equation and draw a diagram that represents the problem

Answer 1

First, we draw the diagram that represents the problem:

Now, the area of the rectangle is given by:

$A=x(x-6)=x^2-6x=55.$

Using the general formula for quadratic equations we get that:

$x=11\text{ or x=}-5.$

Now, x=-5 has no real meaning, therefore x=11.

Answer: The dimensions of the rectangle are 11 meters and 5 meters.