Use the diagram shown to the right to find the unknown lengths of
sides. The perimeter of the trapezoid is 135 inches.
(3.5x-9) in.
The length of the sides measuring x in. is
(Simplify your answer. Type an integer or a decimal.)
The length of the side measuring 2.5x in. is
(Simplify your answer. Type an integer or a decimal.)
The length of the side measuring 3.5x-9 in. is
(Simplify your answer. Type an integer or a decimal.)
x in.
Isoceles
Trapezoid
x in.
2.5x in.

Question

Answered

Answer :

jimrgrant1 jimrgrant1 · Answer 1 · 2024-04-24T06:05:03-04:00

Answer:

see explanation

Step-by-step explanation:

The perimeter (P) of the trapezoid is the sum of its four sides

given P = 135

sum the 4 sides, equate to 135 and solve for x

3.5x - 9 + x + 2.5x + x = 135 ( simplify left side )

8x - 9 = 135 ( add 9 to both sides )

8x = 144 ( divide both sides by 8 )

x = 18

substitute x = 18 into the expressions for the lengths of the sides.

The lengths of the sides measuring x in is 18

The length of the side measuring 2.5x in is 2.5(18) is 45

The length of the side measuring 3.5x - 9 in is

3.5(18) - 9 = 63 - 9 = 54