Question

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 1

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, $x+x+1.5x+3.5x-1=97\\\Rightarrow7x=97+1\\\Rightarrow\ 7x=98/\\\Rightarrow\ x=14$

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

$x\rightarrow14\ in.\\1.5x\rightarrow1.5\times14=21\ in.\\3.5x-1\rightarrow3.5(14)-1=48\ in.$

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