Question

Find perimeter if x=3
please help me

Answer 1

62

Explanation:

there are 4 of (x+ 4)

4(x+4)

4x + 16

there are 2 of (2x+5)

2(2x+5)

4x + 10

there are 4 of 3s

4x3

12

4x+16 + 4x + 10 + 12

simplify

8x + 38

if x = 3

8(3) + 38

24 + 38

62

Answer 2

62

Explanation:

The perimeter of a two-dimensional shape refers to the total length of the boundary or the outer edge of the shape. It is the sum of all the side lengths that enclose the shape.

The given shape has:

• Four sides, each with length (x + 4).
• Four sides, each with length 3.
• Two sides, each with length (2x + 5).

Therefore, the perimeter of the shape is calculated as:

`\textsf{Perimeter} = 4(x+4) + 4(3) + 2(2x + 5)`

To find the perimeter if x = 3, substitute x = 3 into the equation:

`\begin{aligned}\textsf{Perimeter} &= 4(3+4) + 4(3) + 2(2(3) + 5)\\&= 4(7) + 4(3) + 2(6 + 5)\\&= 4(7) + 4(3) + 2(11)\\&= 28 + 12 + 22\\&= 62\end{aligned}`

Therefore, the perimeter of the shape when x = 3 is 62 units.