Question

1. A gard den measuring 5m by 6m is to have a pedestrian pathway that is w meters wide
installed all this way around so that it increases the total area to 200 m What is the width of the
pathway/?​

Answer 1

Step-by-step explanation:

The area of the garden = 12*16 = 192 square meters.

.

Then you add the border with width 'x'.

So,

Length is now L + 2x

Width is now W + 2x

.

We are told:

(L+2x)(W+2x) = 285

.

(12+2x)(16+2x) = 285

.

192 +24x +32x +4x^2 = 285

.

4x^2 + 56x + 192 = 285

.

4x^2 + 56x - 93 = 0....

HOPE THIS WILL HELP YOU...