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Veronika [31]
3 years ago
8

Use the figures above how many of each shape can be found when decomposed to find the area?

Mathematics
1 answer:
MrMuchimi3 years ago
4 0
Figure 1  3 rectangles

Figure 2   2 rectangles, 1 triangle

Figure 3    1 rectangle  1 semicircle
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May someone please help with the way please
Oksana_A [137]

Answer:

17.6 m²

Step-by-step explanation:

Given the ratio of similar shapes = a : b, then

area of shapes = a ² : b²

Δ PTQ and Δ PRS are similar and so the ratio of corresponding sides are equal, that is

PT : PR = 6 : 9 = 2 : 3, thus

ratio of areas = 2² : 3² = 4 : 9

let the area of Δ PQT be x, then using proportion

\frac{4}{x} = \frac{9}{x+22} ( cross- multiply )

9x = 4(x + 22) ← distribute

9x = 4x + 88 ( subtract 4x from both sides )

5x = 88 ( divide both sides by 5 )

x = 17.6

Thus area of Δ PQT = 17.6 m²

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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