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If a gardener fences in the total rectangular area shown in the illustration instead of just the square area, he will needtwice as much fencing to enclose the garden. How much fencing will he need?
34 ft
If a gardener fences in the total rectangular area shown - 1

Answers

Answer 1
Answer:

The perimeter of the rectangle is:

P = 136ft

How much fencing will he need?

For a rectangle of length L and width W the perimeter is:

P = 2*(L + W)

And for a square of side length S, the perimeter is:

P' = 4*L

The length of the rectangle is:

L = 34ft + x

The width is W = x

For the square we have the side length S = x

Here we know that the perimeter of the rectangle is twice the perimeter of the square, then:

2*(W + L) = 2*(4*S)

Replacing these variables in terms of x, we get.

2*(x + 34ft + x) = 2*(4*x)

4x + 68ft = 8x

68ft = 8x - 4x = 4x

68ft/4 = x = 17ft

Then the perimeter of the rectangle is:

P = 2*(34ft + 17ft + 17ft) = 136ft

If you want to learn more about perimeters:

brainly.com/question/24571594

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