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3 years ago

Find the area of the following shape. You must show all work to receive credit A (-4, 0), B(0, 4), C(2, 2), D(1,0)

Mathematics

1 answer:

natulia [17]3 years ago

7 0

9514 1404 393

Answer:

13 square units

Step-by-step explanation:

See the attached figure.

The horizontal dashed line divides the figure into two pieces:

a triangle 4 wide and 2 high
a trapezoid 2 high with bases 5 and 4

The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.

A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units

A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units

The area of the shape is ...

(4 +9) square units = 13 square units

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Steps:

First, put the equation in slope-intercept form.

y=mx+b

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Divide both sides by 4.5 to isolate y.

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Then replace y with 0 because the point for the x-intercept is exactly on the x-axis so the y=0.

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