Find the perimeter of the figure to the nearest hundredth.

49.13 in

Step-by-step explanation:

circle circumference: 25.13

rectangle perimeter: 24

total: 49.13

61.12 units²

Step-by-step explanation:

Area of semi-circle =

Area of rectangle = l*w

Let's do the circles first.

A =

A =

A = 12.56

Since there are two semi-circles with the same measurements, then we're going to multiply 12.56 by 2.

12.56 * 2 = 25.12

Now, let's do the rectangle.

A = 6 * 6

A = 36

Now, we have to add up the two areas so we can find the total area of the shape.

36 + 25.12 = 61.12

So, the area of the shape is 61.12 units²

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step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

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