Question

A garden measuring 15 meters by 20 meters is to have a pedestrian pathway installed

Answer 1

The area of the garden is the amount of space on the garden.

• The area of the total garden is (x + 15)(x + 20)
• The width of the pathway is 1 meter

The expression of the area

The dimensions of the garden is given as:

15 meters by 20 meters

Let the width of the pedestrian pathway be x.

So, the area of the total garden is:

$Area=(x + 15)(x + 20)$

The width of the pathway

In (a), we have:

$Area=(x + 15)(x + 20)$

The total area is given as: 336.

So, we have:

$(x + 15)(x + 20) = 336$

Expand

$x^2 + 35x + 300 = 336$

Collect like terms

$x^2 + 35x + 300 - 336 = 0$

Evaluate

$x^2 + 35x - 36 = 0$

Expand

$x^2 + 36x -x - 36 = 0$

Factorize

$x(x + 36) -1(x +36) = 0$

Factor out x + 36

$(x + 36)(x -1) = 0$

Solve for x

x = -36 or x =1

The width cannot be negative.

Hence, the width of the pathway is 1 meter

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brainly.com/question/24487155