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maria [59]
2 years ago
7

PLS HELP 30 POINTS Find the area of the composite figure.

Mathematics
2 answers:
Nikitich [7]2 years ago
8 0

Answer:

104 m²

Step-by-step explanation:

From inspection of the diagram, we can see that the composite figure is made up of a triangle <u>and</u> a rectangle.

<u>Triangle</u>

If you turn the figure 90° clockwise, you will see that the base of the triangle = 8m and the height of the triangle = 6m.

Area of a triangle = 1/2 x base x height

⇒ area of the triangle = 1/2 x 8 x 6 = 24 m²

<u>Rectangle</u>

From inspection, the length of the rectangle = 10m and the width = 8m

Area of a rectangle = length x width

⇒ area of the rectangle = 10 x 8 = 80 m²

<u>Composite figure area</u>

Therefore the total area of the figure = area of triangle + area of rectangle

⇒ total area = 24 + 80 = 104 m²

Roman55 [17]2 years ago
8 0

Answer:

104 m^2

Step-by-step explanation:

See attached image.

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We will use the method of substitution:
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Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

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Let's plug in what we know.

The slope is 3/4.

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To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

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