Question

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Which expression represents the perimeter of the rectangle below?
The left side of the sqaure is 5x-4
and the bottom 3x+10

Question 20 options:

16x+6


8x+12


16x+12


8x+6

Answer 1

To find the perimeter of a rectangle, you can use the formula:

\[
P = 2 \times (length + width)
\]

In this case, the left side of the rectangle is given as \(5x - 4\) (height), and the bottom as \(3x + 10\) (width).

First, we need to add the lengths of the sides together:

\[
\text{Length} + \text{Width} = (5x - 4) + (3x + 10)
\]

Combine like terms:

\[
= 5x + 3x - 4 + 10
\]
\[
= 8x + 6
\]

Now, substitute back into the perimeter formula:

\[
P = 2 \times (8x + 6)
\]

Distribute the 2:

\[
P = 16x + 12
\]

So, the expression that represents the perimeter of the rectangle is:

**16x + 12**

The correct option is:

**16x + 12**