Solve the word problem. round your final result to the nearest hundredth.

a pattern for miata’s new carpet design contains circles, semicircles, and quarter-circles. all circular shapes have a radius of 8 cm. what is the area of a pattern that contains 1 circle, 4 semicircles, and 8 quarter-circles? there should be four answers

area of circle:
area of semicircles:
area of quarter-circles:
total area of pattern:

area of semicircles

area of semicircles =

area of circle =

area of quarter-circles =

total area of pattern

area of quarter-circles

area of circle

total area of pattern

1)Area of circle: 64

2)Area of semicircles: 128

3)Area of quarter-circles: 128

4)Total area of pattern: 320

Step-by-step explanation:

r = 8cm

Given: 1 circle, 4 semicircles, and 8 quarter-circles.

Area of a circle:

1) A = where r = 8

A = 64

2) 4 semicircles = 2 circles

so the answer is 2*A = 128

3) 8 quarter-circles = 2 circles

Therefore, the answer here is the same as the answer for #2!

4)There are 5 circles total because:

1 circle = 1 circle

4 semicircles divided by 2 = 2 circles (because times 4)

8 quarter-circles divided by 4 (think about what "quarter" means) = 2 circles

So ... 1 + 2 + 2 = 5 circles

Now we need to find the area of 5 circles which is just 5*A

5*A = 320

26

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 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.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

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

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.