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2 years ago

Find the area of the given geometric figure

Mathematics

1 answer:

torisob [31]2 years ago

4 0

Answer:

48 mi²

Step-by-step explanation:

Extending the center vertical line to the bottom edge of the figure causes it to divide the figure into two rectangles. One is 7 mi high by 4 mi wide; the other is 2 mi high by (14 -4) = 10 mi wide.

The area of each is the product of its height and width, so the total area is ...

A = (7 mi)(4 mi) +(2 mi)(10 mi) = 28 mi² +20 mi² = 48 mi²

The area of the given geometric figure is 48 mi².

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MissTica

Answer:

Scale factor = 7

Step-by-step explanation:

Dilation with scale factor to map HEFG to DABC will be,

Scale factor = $\frac{\text{Dimension of Image DABC}}{\text{Dimension of preimage HEFG}}$

= $\frac{\text{Length of CD}}{\text{Length of GH}}$

Length of CD = Distance between two points C(0, -7) and D(-7, 0)

= $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

= $\sqrt{(-7-0)^2+(0+7)^2}$

= $\sqrt{98}$

= $7\sqrt{2}$

Length of GH = Distance between G(0, -1) and H(-1, 0)

= $\sqrt{(-1-0)^2+(0+1)^2}$

= $\sqrt{2}$

Scale factor = $\frac{7\sqrt{2} }{\sqrt{2} }$

= 7

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2 years ago

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3 years ago

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zhannawk [14.2K]

<h2>Answer:</h2>

8x+9

<h2>Step-by-step explanation:</h2>

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<h3><em><u>Handle the brackets first</u></em></h3>

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2 years ago

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