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anyanavicka [17]
2 years ago
14

Find the surface area. 17 ft 8 ft. 20 ft 15 ft Need this fast

Mathematics
1 answer:
Orlov [11]2 years ago
4 0

Answer:

920 square feet

Step-by-step explanation:

Top: 20 * 17 = 340

Side triangles: 8 * 15 / 2 = 60

2 side triangles: 60 * 2 = 120

Back rectangle: 8 * 20 = 160

Bottom rectangle: 15 * 20 = 300

All of them: 340 + 120 + 160 + 300 = 920

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Answer: The scale factor of the dilation is 0.5.

Explanation:

It is given that ABCD is polygon which is reflected and dilated , then we get PQRS.

The vertices of ABCD are (2, 2), (6, 8), (12, 8), and (16, 2) respectively. The vertices of image  PQRS are (11, 15),(9, 12), (6, 12), and (4, 15) respectively.

The reflection affects the coordinates but does not affect the length of the sides.

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If a line segment AB is dilated by scale factor k then length of A'B' is k times length of AB.

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Use distance formula to find the side length.

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

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\sqrt{13}=k \times 2\sqrt{13}

k=\frac{1}{2}

k=0.5

Hence, the value of scale factor is 0.5.

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