Question

A trapezoid has a perimeter of 117 cm. the two shortest rides have the sane length. The third side is 12 cm longer than on short ride. The final side is 9cm less than three times one short side. How long is each side of the trapezoid.

write an equation to represent this problem. Solve your equation and write your answer in a complete sentence

Answer 1

Answer: The equation is 117 = 2x + (x + 12) + (3x - 9) The two short sides are 19 cm long, the third side is 31 cm long, and the fourth side is 48 cm long.

Explanation:

Let x represent the length of the shortest sides

The equation for the problem is:

117 = 2x + (x + 12) + (3x - 9)

Simplify:

117 = 6x + 3

114 = 6x

19 = x

Plug x in for all the sides:

Short sides = 19 cm

Third side = (19) + 12 = 31 cm

Fourth side = 3(19) - 9 = 57 - 9 = 48 cm

Sentence:

The two short sides are 19 cm long, the third side is 31 cm long, and the fourth side is 48 cm long.

Hope this helps!