07.05.2023

Find the perimeter and the total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used

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Mathematics

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use a = 3.14 in any formulas used. 4: 8 4 4 8 4 O Perimeter = 100.48 inches, Area = 164.48 square inches O Perimeter = 50.24 inches, Area = 164.48 square inches O Perimeter = 50.24 inches, Area = 264.96 square inches O Perimeter = 12.56 inches, Area = 114.24 square inches

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P Answered by PhD

(Second choice)

Perimeter= 50.24 inches, Area=164.48 square inches

Step-by-step explanation:

Compound Shapes

The figure in the image can be split into four half circles and a square.

The area of a circle of radius r is:

$A_c=\pi r^2$

The area of a square of side length x is:

A_s=x^2

Each semicircle has a radius of r=4 inches, thus the area of the four semicircles is twice the area of a circle:

$A_1=2\pi\cdot 4^2$

$A_1=2*3.14* 16 =100.48\ in^2$

The square has a side length of x=8 inches:

$A_2=8^2=64 \ in^2$

The total area of the shape is

$A=A_1+A_2=100.48+64=164.48\ in^2$

The perimeter of the figure corresponds to the length of 4 semicircles or twice the length of a circle:

$P=2*(2\pi r)=2*2*3.14*4=50.24\ in$

(Second choice)

Perimeter= 50.24 inches, Area=164.48 square inches

Mathematics

Step-by-step answer

P Answered by PhD

(Second choice)

Perimeter= 50.24 inches, Area=164.48 square inches

Step-by-step explanation:

Compound Shapes

The figure in the image can be split into four half circles and a square.

The area of a circle of radius r is:

$A_c=\pi r^2$

The area of a square of side length x is:

A_s=x^2

Each semicircle has a radius of r=4 inches, thus the area of the four semicircles is twice the area of a circle:

$A_1=2\pi\cdot 4^2$

$A_1=2*3.14* 16 =100.48\ in^2$

The square has a side length of x=8 inches:

$A_2=8^2=64 \ in^2$

The total area of the shape is

$A=A_1+A_2=100.48+64=164.48\ in^2$

The perimeter of the figure corresponds to the length of 4 semicircles or twice the length of a circle:

$P=2*(2\pi r)=2*2*3.14*4=50.24\ in$

(Second choice)

Perimeter= 50.24 inches, Area=164.48 square inches

Mathematics

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi equals 3.14 in any formulas used

Step-by-step answer

P Answered by PhD

Perimeter = 65.12 in

Area = 292.48 in^2

which agrees with the second answer choice

Step-by-step explanation:

The perimeter is going to be the addition of the sides of the rectangle external to the composite figure ( 12 + 16 + 12 = 40) PLUS the length of half of the circumference or radius 8 inches (which is pi * radius = 3.14 * 8 = 25.12 in)

Then the total perimeter is:

Perimeter = 40 in + 25.12 in = 65.12 in

The are is going to be the area of the rectangle (12 * 16 = 192 square inches) PLUS the area of the semicircle of radius 8 in (pi *radius^2 /2 = 100.48 square inches).

Therefore the total area is:

Area = 192 + 100.48 = 292.48 in^2

Mathematics

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use pi = 3.14 in any formulas used.

Step-by-step answer

P Answered by PhD

The perimeter and area of the composite shape is:

B. Perimeter = 19.42 inches; Area = 26.13 square inches

Recall:

Area of a circle = πr²

Perimeter of circle = 2πr

Area of triangle = 1/2(bh)

The composite shape given is composed of a triangle and a semicircle.

Perimeter of the composite shape = Perimeter of semicircle + the length of the two sides of the triangle

Perimeter = 1/2(2 × 3.14 × 3) + 2(5) = 19.42 inches

Area of the composite shape = area of semicircle + area of triangle

Area = 1/2(3.14 × 3²) + 1/2(6 × 4)

Are = 14.13 + 12

Area of the composite shape = 26.13 square inches.

Therefore, the perimeter and area of the composite shape is:

B. Perimeter = 19.42 inches; Area = 26.13 square inches

Learn more about area and perimeter of composite shapes on:

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Mathematics

Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use t = 3.14 in any formulas used. HELP!

Step-by-step answer

P Answered by PhD

C) Perimeter = 46.28

Step-by-step explanation:

The lengths of the sides on the bottom half of the shape are given as :

left = 10, bottom = 20, right = 10 = 40.

Need to find the perimeter of the semicircle at the top of the shape.

Perimeter of a circle is the Circumference = 2πr

So the perimeter of a semicircle = πr

= 3.14(2)

= 6.28

Add up the lengths of the left, bottom, right, and top: 40 + 6.28 = 46.28

Since there is only one option for Perimeter = 46.28, there is no need to solve for the Area.

Mathematics

You can buy jars of the same jam in 2 sizes large jar:440g for £1.54 small jar:340g for £1.26 By considering the price per gram, work out which jar is the best value for money. Working must be shown

Step-by-step answer

P Answered by PhD

Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram

Mathematics

An ice cream shop offers 5 different flavors of ice cream and 9 different toppings. How many choices are possible for a single serving of ice cream with one topping?

Step-by-step answer

P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45

Mathematics

Anthony received $150 for his birthday this year. This was $10 less than half the amount he received last year. How much money did Anthony receive for his birthday last year?

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P Answered by PhD