HELP.......................

Find the area of the composite figure.

Roman55 [17]

Answer:

The Area of the composite figure would be 76.26 in^2

Step-by-step explanation:

<u>According to the Figure Given:</u>

Total Horizontal Distance = 14 in

Length = 6 in

<u>To Find :</u>

The Area of the composite figure

<u>Solution:</u>

Firstly we need to find the area of Rectangular part.

So We know that,

$\boxed{ \rm \: Area \: of \: Rectangle = Length×Breadth}$

Here, Length is 6 in but the breadth is unknown.

To Find out the breadth, we’ll use this formula:

$\boxed{\rm \: Breadth = total \: distance - Radius}$

According to the Figure, we can see one side of a rectangle and radius of the circle are common, hence,

$\longrightarrow\rm \: Length \: of \: the \: circle = Radius$

Since Length = 6 in ;

$\longrightarrow \rm \: 6 \: in = radius$

Hence Radius is 6 in.

So Substitute the value of Total distance and Radius:

Total Horizontal Distance= 14
Radius = 6

$\longrightarrow\rm \: Breadth = 14-6$

$\longrightarrow\rm \: Breadth = 8 \: in$

Hence, the Breadth is 8 in.

Then, Substitute the values of Length and Breadth in the formula of Rectangle :

Length = 6
Breadth = 8

$\longrightarrow\rm \: Area \: of \: Rectangle = 6 \times 8$

$\longrightarrow \rm \: Area \: of \: Rectangle = 48 \: in {}^{2}$

Then, We need to find the area of Quarter circle :

We know that,

$\boxed{\rm Area_{(Quarter \; Circle) } = \cfrac{\pi{r} {}^{2} }{4}}$

Now Substitute their values:

r = radius = 6
π = 3.14

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 6 {}^{2} }{4}$

Solve it.

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times 36}{4}$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = \cfrac{3.14 \times \cancel{{36} } \: ^{9} }{ \cancel4}$

$\longrightarrow\rm Area_{(Quarter \; Circle)} =3.14 \times 9$

$\longrightarrow\rm Area_{(Quarter \; Circle) } = 28.26 \: {in}^{2}$

Now we can Find out the total Area of composite figure:

We know that,

$\boxed{ \rm \: Area_{(Composite Figure)} =Area_{(rectangle)}+ Area_{ (Quarter Circle)}}$

So Substitute their values:

$\rm Area_{(rectangle)}$ = 48
$\rm Area_{(Quarter Circle)}$ = 28.26

$\longrightarrow \rm \: Area_{(Composite Figure)} =48 + 28 .26$

Solve it.

$\longrightarrow \rm \: Area_{(Composite Figure)} =\boxed{\tt 76.26 \:\rm in {}^{2}}$

Hence, the area of the composite figure would be 76.26 in² or 76.26 sq. in.

$\rule{225pt}{2pt}$

I hope this helps!

3 0

2 years ago

If you have a square and you divide then in four

timofeeve [1]

Answer:

How do you divide a square into 4 squares?

Solution 1: The easiest way to divide the square into 4 equal parts is to draw three vertical lines or three horizontal lines forming four (4) equal areas

Step-by-step explanation:

5 0

3 years ago

The figure is formed from rectangles. Find the total area.

hram777 [196]

Answer:

The answer to your question is 68 ft²

Step-by-step explanation:

Data

Large square Small square

base 10 - 2 = 8 ft 2 ft

height 8 ft 2 ft

Process

1.- Find the area of the large square

Area = base x height

= 8 x 8

= 64 ft²

2.- Find the are of the small square

Area = base x height

Area = 2 x 2

= 4 ft²

3.- Find the total area

Total area = 64 + 4

= 68 ft²

3 0

4 years ago

Shakira and Evelyn disagree on the method used to find the perimeter of an equilateral triangle whose side measures 4n-2. Whose

wel

Answer:

<h3>Both are correct</h3>

Step-by-step explanation:

All the sides of an equilateral triangle are equal. Hence;

Perimeter of an equilateral triangle = 3S

S is one of the side length

Given;

S = 4n-2

Perimeter of the triangle = 3(4n-2)

This can also be expressed as P = S + S + S

P = (4n-2) + (4n-2) + (4n-2)

This shows that both methods are correct

4 0

3 years ago

Rosey purchased 364 flowers to make centerpieces for a party. There are 13 tables. Each table will have 4 vases with the same nu

Olin [163]

7. honestly not 100% sure. i did 364 divided by 13 which was 28 so 28 flowers per table. and then 28 divided by 4. 7 flowers per vase.

8 0

2 years ago