Question

Given the perimeter of the given shape, find the length of each side of the object.

1) A triangle where the perimeter is 25 inches. The length of the sides are 2w+1, 3w and 3w.

Answer 1

Answer:

The length of each side is 17 in, 24 in, 24 in.

Step-by-step explanation:

Given,

Perimeter of the triangle = $25\ in$

Length of 1st side = $2w+1$

Length of 2nd side = $3w$

Length of 3rd side = $3w$

The perimeter of a triangle is equal to the sum of the length of all the three sides of the triangle.

Perimeter of the triangle = Length of 1st side + Length of 2nd side + Length of 3rd side

Now substituting the given values, we get;

$2w+1+3w+3w=25\\\\8w+1=25\\\\8w=25-1\\\\8w=24\\\\w=\frac{24}{8}=3$

Now we have the value of w so we can calculate the length of each side.

Length of 1st side = $2w+1=2\times8+1=16+1=17\ in$

Length of 2nd side = $3w=3\times8=24\ in$

Length of 3rd side = $3w=3\times8=24\ in$

Thus the length of each side is 17 in, 24 in, 24 in.