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3 years ago

Please show full solutions! Will mark brainliest for the best answers! Thanks. Question is attached.

Mathematics

1 answer:

Rzqust [24]3 years ago

8 0

9514 1404 393

Answer:

a square 175 m on a side

Step-by-step explanation:

Let x and y represent the sides of the rectangle. Then the perimeter is ...

P = 2(x + y) = 700

x + y = 350 . . . . . . . divide by 2

y = 350 -x . . . . . . . . subtract x

The area of the fenced field is ...

A = xy

A = x(350 -x)

This is a quadratic function that has zeros at x = 0 and x = 350. The axis of symmetry is x = (0 +350)/2 = 175. The vertex (maximum area) is on the axis of symmetry, so corresponds to x = 175. The y-value there is ...

y = 350 -x = 350 -175 = 175

That is, the maximum area will be obtained when the fenced area is a square. Each side of the square is 175 m, which is 1/4 of the total length of the fence.

The dimensions of the space are 175 m by 175 m.

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4 years ago

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Step-by-step explanation:

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