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sveta [45]
3 years ago
6

A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 19 cm long and 4 cm wide. The di

ameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
Mathematics
1 answer:
alexira [117]3 years ago
8 0

Answer:

Since we have two semi-circles we can say that we have a full circle. using the circle area formula we can say that

3.14*2^2 = 12.56 cm

Using the rectangle area formula we can say that

19*4 = 76 cm

Adding them both together is

12.56 + 76 = 88.56 cm

So the bookmark has an area of 88.56cm^2

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Find the area of the shaded region.
kolbaska11 [484]

Answer:

\boxed{ \tt\longrightarrow \: Area \:  Of  \: Shaded \:  region  \: =\boxed{ \tt 39  \: in²}}

Step-by-step explanation:

<u>Given:</u>

The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)

<em>And,</em>

The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).

<u>To Find</u>:

The Area of Shaded region

<u>Solution:</u>

When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:

\boxed{\tt \longrightarrow Area  = (Parallelogram  - Rectangle)}

We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .

\tt\longrightarrow \: Area =B×h-l×b

Put their values accordingly:

\longrightarrow  \tt Area = (12 \times 7 - 9 \times 5)in {}^{2}

<u>Simplify it.</u>

<em>[</em><em>Follow BODMAS Rule strictly while </em><em>simplifying]</em>

\tt\longrightarrow \: Area = (84 - 45 ) in {}^{2}

\tt\longrightarrow \: Area = 39 \:  {in}^{2}

Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .

\rule{225pt}{2pt}

I hope this helps!

8 0
3 years ago
Read 2 more answers
Given h (x) = -2x - 4, solve for x when h (x) =6.
anygoal [31]

Answer:

(x = -20) if what your saying is 6 = -2x - 4 and (x = -16) if what your saying is x = -2 x 6 - 4

Step-by-step explanation:

6 0
3 years ago
Represent the following sentence as an equation. 3 times the sum of 12 and a number b. *
Romashka [77]
The correct answer is:
A- 3•12+b

Sum means addition
8 0
3 years ago
16 of 3
Nataliya [291]

107 m

Step-by-step explanation:

Step 1:

Here the microscope magnifies by 10 times.

The initial length is 10.7 m

Step 2:

Let the object be magnified by 10 times . Then, 10 × 10.7 = 107

5 0
3 years ago
Need the answers to these questions please
Katena32 [7]

Answer:

a) p = 88\,cm, b) p = 24\,cm, c) p \approx 25.424\,m, d) p \approx 39.368\,cm

Step-by-step explanation:

a) The perimeter is the sum of the three sides of the internal square and the remaining sides of the external rectangle, that is:

p = 3\times 8\,cm + 2\times 4\,cm +2\times 20\,cm + 16\,cm

p = 88\,cm

b) The perimeter is the sum of the two sides of the internal triangle and the remaining sides of the external rectangle, that is:

p = 2\times 4\,cm + 2\times 6\,cm + 4\,cm

p = 24\,cm

c) The perimeter is the sum of the two sides of the circular section and the three sides of the lower rectangle, that is:

p = \frac{\pi}{2}\times 6\,cm + 8\,cm + 6\,cm + 2\,cm

p \approx 25.424\,m

d) The perimeter is the sum of the external sides of the triangle and rectangle, that is:

p = 10\,cm + 12\,cm + 12\,cm + 12\,cm - \sqrt{(12\,cm)^{2}-(10\,cm)^{2}}

p \approx 39.368\,cm

5 0
3 years ago
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