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 64 111 and 75 m. What are the smallest and largest areas that the field could be

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

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

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