Question

The perimeter of a square box is 12x + 32. Drag numbers to complete an equivalent expression that shows the perimeter as four times the side length of the box. Numbers may be used once, more than once, or not at all.

Answer 1

The answer is : 4(3x+8)

Explanation:

4x3 is equal to 12x

And 4x8 is equal to 32

Answer 2

4L = 4(3x + 8)

So,we can conclude that four times the side length is equal to the perimeter.

Explanation:

Let the side length of the square be L.

We know that perimeter of a square is given as: P = sum of all 4 sides.

Thus, since all sides of a square are equal, then P = L + L + L + L = 4L

We are given that the perimeter is 12x + 32.

Since we have established the formula for perimeter as 4L

Thus;

4L = 12x + 32

So, if we factorize the right hand side, we have;

4L = 4(3x + 8)

Comparing both sides, we can see that L = 3x + 8

Thus,we can conclude that four times the side length is equal to the perimeter.