Question

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Answer 1

Explanation:

Let's call the length of the second side "x". Then, the length of the first side is 2x and the length of the third side is x + 16.

The perimeter of the triangle is the sum of the lengths of its sides, so we can set up an equation to solve for x:

x + 2x + (x + 16) = 96

Expanding the equation and solving for x, we get:

4x + 16 = 96

4x = 80

x = 20

So, the length of the second side is 20 inches, the length of the first side is 2 * 20 = 40 inches, and the length of the third side is 20 + 16 = 36 inches.

Answer 2

First side: 40in

Second side: 20in

Third side: 36in

Explanation:

Let's call the triangle's first, second, and third sides a, b, and c respectively.

The perimeter of the triangle is 96in: a+b+c=96

The length of the first side is twice the second: a=2b

The third side is 16in more than the second: c=b+16

Now, consider the equation a+b+c=96 again, but sub '2b' in for a, and 'b+16' for c, in order to find the value of b:

a+b+c=96

2b+b+b+16=96

4b=80

b=20

Use this value for b to find a and c:

a=2b=2(20)=40

c=b+16=20+16=36