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Claire bought just enough fencing to enclose either a rectangular garden or a triangular garden, as shown. The two gardens have the same perimeter. How many feet of fencing did she buy?

Claire bought just enough fencing to enclose either a rectangular garden or a triangular garden, as shown. The two gardens have the same perimeter. How many fee class=

Verified Answer :

leeandrews2

To find the perimeter of the rectangle, you would add all sides or use P=2L+2w (Perimeter = 2 times the length plus 2 times the width)

P= 2(3x-3) + 2(x-3)

P=6x-6+2x-6

P=8x-12


To find the perimeter of the triangle, add all the sides.

P=(2x-1)+2x+(2x-1)

P=6x-2

Now we know that both of the perimeters are the same so we can set them equal to each other.

8x-12 = 6x-2   solve by subtracting 6x from both sides.

2x-12 = -2   then add 12 to both sides

2x=10   last divide by 2 on both sides

x=5


Now replace x with 5 on either the rectangle or the triangle. I will use the triangle.

P=(2x-1)+2x+(2x-1)

P=(25-1)+25+(2*5-1)

P=28 feet

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