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The small base of an isosceles trapezoid is x centimeters long. The large base of the trapezoid is 3
centimeters shorter than twice the length of the small base, and each of the two remaining sides of the
trapezoid is 2 centimeters longer than the small base. If the perimeter of the trapezoid is 26 centimeters.
which of the following must be true?
4x – 3 = 26
4x - 1 = 26
5x – 1 = 26
5x + 1 = 26

Respuesta :

van1505
the answer should be d) 5x+1=26
Ver imagen van1505

The equation of the perimeter will be 5x + 1 = 26. Then the correct option is D.

What is a trapezoid?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

Let ABCD is the isosceles trapezoid.

The small base (BC) of an isosceles trapezoid is x centimeters long.

The large base (AD) of the trapezoid is 3 centimeters shorter than twice the length of the small base will be

AD = 2x - 3

And each of the two remaining sides of the trapezoid is 2 centimeters longer than the small base will be

AB = CD = x + 2

Then the perimeter is the sum of all sides.

If the perimeter of the trapezoid is 26 centimeters.

Then the equation of the perimeter will be

AB + BC + CD + DA = 26

x + 2 + x + x + 2 + 2x - 3 = 26

5x + 1 = 26

Then the correct option is D.

More about the trapezoid link is given below.

https://brainly.com/question/22607187

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