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The perimeter of a trapezoid is 14 inches. The length of the left and right sides are the same. If the length of the bottom is twice the length of a side and the length of the top is 1 inch less than the length of a side. Find the length of each side, the top and the bottom.

Please provide an explanation along with the answer!

asked
User Signine
by
7.7k points

1 Answer

3 votes

Answer:

Length of each side=3 inches

Length of the top side =6 inches
Length of button sides = 2 inches

Explanation:

Let x be the length and right side.

The bottom is 2x inches long.

The top is x-1 inches long.

The perimeter is 14 inches.

Therefore,

Perimeter= sum of all sides

left side length+right side length+top side length+bottom side length=14 in

x + x + x-1+2x = 1

Solving like terms:

5x-1 = 14

adding 1 on both sides

5x-1+1= 14+1

5x=15

dividing both sides by 5

5x/5=15/5

x = 3

The length of each side is 3 inches.

The length of the bottom is 2*3 = 6 inches.

The length of the top is 3-1 = 2 inches.

Therefore, the length of each side, the top, and the bottom are 3 inches, 6 inches, and 2 inches respectively.

answered
User VolkerK
by
8.3k points

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