What is the area of the paper that remains

Question

A rectangular piece of paper with length 34 cm and width 16 cm has two symmetrical cut out of it, as shown below. Find the area of the paper that remains. use the value 3.14 for and do not round your answer. Be sure to include the correct and unit in your answer

Answer 1

There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other.

-------------------------------LENGHT --------------‐-

Place a compass in where lines meet in middle with the none pencil side right at center and pencil side ( open compass ) to lenght side.

Given is LENGHT and WIDTH of a RECTANGLE.

Given is PIE or 3.14.

So far we can find

the following:

Area of Rectangle

A = L X W

A = 34 cm x 16 cm

A = 34 X 16

544 cm² = 34 cm x 16 cm

Rentangle Area is 544 cm².

Next looks like we must draw a CIRCLE.

Lets look at

CIRCLE

Area of Cirle = Pie x r²

Area of Circle = 3.14 x 8 cm²

Area = 3.14 X 64

A = 200.96 cm²

How did we get the measurements of the circle?

We took a compass and placed the non pointed side of compass on the center where 2 symmetrical lines meet.

We opened compass to the edge of the lenght of Rectangle and spun compass or drew a circle right in center of Rectangle.

Please do so to further your understanding of what went on.

We got the Radius of Circle by dividing the diameter by 2 the diameter equals the width of Rectangle by the way which was 16 cm and it was the circles diameter.

At this point we assume you have a shaded and non shaded part.

One minus the other is the answer depending on how question is being asked.

Answer = Shaded minus non shaded

Anewer = Non shaded minus Shsder

Rectangle minus Cirvle

Circle minus Rectangle

Area of Rectangle is 544 cm²

Area of Circle is 200.96 cm²

Here are 2 formulas

Area of Circe is

A = Pie x r²

Area of Rectangle

A = L X W

Glad to help

Julio Lopez Jr