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snow_lady [41]
2 years ago
10

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

Mathematics
1 answer:
vfiekz [6]2 years ago
8 0

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

<h3>The expression of the area</h3>

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)

<h3>The width of the pathway</h3>

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

Read more about areas at:

brainly.com/question/24487155

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