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3 years ago

What is the area of the figure below?

Mathematics

1 answer:

-BARSIC- [3]3 years ago

6 0

Answer:

54.8 = total area+

Step-by-step explanation:

Start with the widest part near the middle. Three inches is taken away from 7 inches to give 4 inches.

4 inches must be divided by 2 since the triangles so formed are congruent and there are 4 of them.

Use the Pythagorean theorem to get the height of the triangles. Solve the height for just one of them.

height = ??

Base = 2

hypotenuse = 5

height^2 + 2^2 = 5^2

height^2 + 4 = 25

height^2 + 4 - 4 = 25 - 4

height^2 = 21

height = sqrt(21)

height = 4.58

Area of 4 Trangles

Area of the triangles = 4 * (1/2 * 2 * 4.58)

Area of the triangles = 18.32

Area of the Middle Rectangle

Area = l * w

length = 4.58 * 2 where did that 2 come from?

width = 3

Area = 3 * 2 * 4.58

Area = 27.48

Area of the two End Squares

The end squares measure 3 by 3

Area square = s*s

The area = 3*3 = 9

Total Area

Area = 9 + 27.48 + 18.32

Area = 54.8 units.

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3 years ago

Some members of the cooking club are making cakes which they will sell at a street fair for $10 apiece. It costs $10 for a booth

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Answer:

The cooking club sales covers the expenditure when 2 piece of cakes are sold.

Step-by-step explanation:

Given:

Selling price of each piece of cake = $10

Cost for booth at fair = $10

Ingredients for each piece of cake = $5

We need to find the number of pieces of cake sold when the sales cover the expenditures.

Solution:

Let the number of pieces be 'x'

So We can say that the point at which the sales cover the expenditures can be calculated as Selling price of each piece of cake multiplied by number of pieces will be equal to Cost for booth at fair plus Ingredients for each piece of cake multiplied number of piece of cakes.

framing in equation form we get;

$10x =10+5x$