Question

Please help and leave answers

Answer 1

The other guy got it

Step-by-step explanation

Answer 2

`\huge \boxed{\mathrm{36√(3) +72 \ mm^2}}`

Explanation:

The height of the triangle is important to find the area of the rectangle.

We can split the triangle in half, we get a right triangle.

Apply Pythagorean theorem to solve for the height.

3² + b² = 6²

b² = 6² - 3²

b² = 36 - 9

b² = 27

`b= 3√(3)`

The length of the rectangle is 3 + 3 + 3 + 3 = 12 mm

The width is 3 +
`3√(3)` + 3 =
`3√(3)+6` mm

The area of a rectangle is length × width.

`12(3√(3)+6)`

Distribute.

`36√(3) +72`

The area of the rectangle is
`36√(3) +72` mm².