5. Find the area of the of the figure 20 points

Mathematics

2 answers:

slamgirl [31]3 years ago

8 0

Answer && Step-by-step explanation:

We know that area for rectangle/square is Width * Height

Triangles 1/2 * Base*Height

we can see the height of the triangle will be 6 feet, as 10 feet is the "height" (length) of the rectangle

solve by multiplying the rectangle's sides (I cant see if that is a 9 or not but:)

9*10 = 90

keep it in mind, now we know 9==base for triangle, thus;

(9*6)*1/2==27

90+27

117 sq ft.

ValentinkaMS [17]3 years ago

5 0

Answer:

A. 117 sq. ft.

Step-by-step explanation:

So first you can multiply the 9x10 because the area of a rectangle is length x width. That gives you 90. The area of a triangle is base x height so it would be 6x9=54 and divide that by 2 which is 27. Then add 27 and 90 snd you get the answer: 117 sq. ft.

You might be interested in

A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$