Middle School

Use this diagram to find the measures of the lengths of the sides. The perimeter of the trapezoid on the right is 97 inches.

Use this diagram to find the measures of the lengths of the sides The perimeter of the trapezoid on the right is 97 inches

Answer :

Answer: 14 in. , 21 in. , 14 in. , and 48 in.


Step-by-step explanation:

Given : The perimeter of the trapezoid = 97 inches

The sides of the trapezoid are x in., 1.5x in. , x in. ,and (3.5x-1) in.

We know that the perimeter of any polygon is the sum of all sides.

Thus, [tex]x+x+1.5x+3.5x-1=97\\\Rightarrow7x=97+1\\\Rightarrow\ 7x=98/\\\Rightarrow\ x=14[/tex]

Substitute the value of x in the sides of the trapezoid, we get the sides of trapezoid as

[tex]x\rightarrow14\ in.\\1.5x\rightarrow1.5\times14=21\ in.\\3.5x-1\rightarrow3.5(14)-1=48\ in.[/tex]

Hence, the lengths of the sides of the trapezoid are 14 in. , 21 in. , 14 in. , and 48 in.