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2 years ago

Find the Area of the shape (Area of Composite Shapes)

Mathematics

2 answers:

Genrish500 [490]2 years ago

7 0

Answer 223.5
Your welcome just to make it 20 c characters long how you doing

Sloan [31]2 years ago

5 0

Answer:

223.5 Km

Step-by-step explanation:

Area = Length x Width

Solving for Square Shape

8 · 6 = 48 km

Area = Length x Width

Solving for Rectangle Shape

9 · 14 = 126 km

Area = Length x Width ÷ 2

Solving for Triangle Shape

11 · 9 = 99 ÷ 2 = 49.5 Km

48 + 126 + 49.5 = 223.5 Km

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Given:

oksian1 [2.3K]

Answer:

9 units

Step-by-step explanation:

By the midsegment theorem,

$AB=\dfrac{KN+LM}{2}$

Since the ratio $LM:KN=1:5,$ then $LM=x,\ KN=5x$ and

$18=\dfrac{x+5x}{2}\\ \\18=\dfrac{6x}{2}\\ \\18=3x\\ \\x=6\\ \\LM=6\ units\\ \\KN=30\ units$

Draw two heights LE and MF. Quadrilateral ELMF is a rectangle, then EF = LM = 6 units.

Trapezoid KLMN is isosceles trapezoid (KL = MN), then KE = FN and

$KE=FN=\dfrac{KN-EF}{2}=\dfrac{30-6}{2}=12\ units$

Consider right triangle KLE. By the Pythagorean theorem,

$KL^2=LE^2+KE^2\\ \\15^2=LE^2+12^2\\ \\LE^2=15^2-12^2\\ \\LE^2=225-144=81\\ \\LE=9\ units$

3 0

2 years ago

Find the length of the line PA.

Diano4ka-milaya [45]

RO divides the rectangle into two congruent right triangles.

The area of the one triangle is equal half area of the rectangle.

Calculate the area of rectangle:

$A_R=lw\\l=12,\ w=5\\\\A_R=12\cdot5=60$

The area of right triangle:

$A_T=\dfrac{1}{2}A_R\to A_T=\dfrac{1}{2}\cdot60=30$

Use the Pythagorean theorem to calculate the length of RO:

$|RO|^2=5^2+12^2\\\\|RO|^2=25+144\\\\|RO|^2=169\to|RO|=\sqrt{169}\to|RO|=13$

The formula of an area of this right triangle is:

$A_T=\dfrac{1}{2}|RO||PA|$

Therefore we have the equation:

$\dfrac{1}{2}(13)|PA|=30\qquad|\cdot2\\\\13|PA|=60\quad|:13\\\\|PA|=\dfrac{60}{13}\\\\|PA|\approx4.62$

8 0

2 years ago

Solve linear equation -1/5(x-4)=-2

grigory [225]

Answer:

x= 15

Step-by-step explanation:

i worked it out its corect

3 0

2 years ago

For an average adult the surface area of the skin is about 19,000 square cm and the thickness of the skin ranges from about 0.5

timama [110]

That's not actually true for "this page", but I know what you mean.

19,000 / 630 = about <u>30 sheets</u> of A4 paper to cover an average adult's body.

You may be on to a new fashion trend here.

3 0

2 years ago

The numerical value of the quantities expressed by the numbers and letters on the left side of the equation (equal sign) is equa

pashok25 [27]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In the question, the choices are missing that why it correct can be defined as follows:

The correct choice is "What else the equivalent (=) sign indicates on both sides of every equation".

6 0

2 years ago