Respuesta :

Answer:

7200

Step-by-step explanation:

At first:

Given,

Back of lot of the trapezoid = 175

Front of lot of the trapezoid = 185

Length of lot of the trapezoid = 100

Therefore,

Area of the trapezoid

[tex] = \frac{a + b}{2} c[/tex]

  • [On putting the values]

[tex] = \frac{175 + 185}{2} \times 100[/tex]

  • [On Simplification]

= 360 × 50

  • [On multiplying]

= 18000

Hence,

We got the Total Area as 18000.

Now:

As per given equation,

  • [tex] \frac{40}{100} = \frac{x}{total \: area} [/tex]
  • To find the value of x

Solution ,

[tex] = > \frac{40}{100} = \frac{x}{total \: area} [/tex]

  • [On putting Total Area = 18000]

[tex] = > \frac{40}{100} = \frac{x}{18000} [/tex]

  • [On cross multiplication]

=> 40 × 18000 = 100 × x

  • [On Simplification ]

=> 720000 = 100x

  • [On dividing both sides with 100]

[tex] = > \frac{720000}{100} = \frac{100x}{100} [/tex]

  • [On Simplification ]

=> x = 7200

Hence,

Xavier's avaliable lot coverage (x) = 7200 (Ans)

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