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valentinak56 [21]
3 years ago
14

A regulation soccer field for international play is a rectangle with a length between 100 m and I 1 O m and a width between 64 1

11 and 75 m. What are the smallest and largest areas that the field could be
Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

  • The smallest area the field could be is 6,400 m²
  • The largest area the field could be is 8,250 m²

Step-by-step explanation:

Given;

smallest possible length of the international soccer field, L₀ = 100 m

smallest possible breadth of the international soccer field, B₀ = 64 m

Largest possible length of the international soccer field, L₁ = 110 m

Largest possible breadth of the international soccer field, B₁ = 75 m

Area of a rectangle is given by;

A = L x B

The smallest area the field could be is calculated as;

A₀ = L₀ x B₀

A₀ = 100 m x 64 m

A₀ = 6,400 m²

The largest area the field could be is calculated as;

A₁ = L₁ x B₁

A₁ = 110 m x 75 m

A₁ = 8,250 m²

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<u>To find the missing coordinate:</u>

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$\left( \frac{m+h}{2}, \frac{n}{2}\right  )=\left( \frac{x}{2}, \frac{y}{2}\right  )

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Multiply by 2 on both sides of the equation, we get

n = y

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Hence the missing coordinates of the parallelogram is (m + h, n).

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