$$\(P Q R\)$$ is a triangle. $$\(T\)$$ is a point on $$\(P R\)$$ and $$\(U\)$$ is a point on $$\(P Q\)$$. $$\(R Q\)$$ is parallel to $$\(T U\)$$. $$\(\quad P T: T R=4: 3\)$$ (a) Find the ratio $$\(P U: P Q\)$$. : .................. .................. (b) The area of triangle $$\(P U T\)$$ is $$\(20 \mathrm{~cm}^{2}\)$$. Find the area of the quadrilateral $$\(Q R T U\)$$. ...................................... $$\(\mathrm{cm}^{2}\)$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_w20_qp_43 Year:2020 Question No:5(b)(ii)

Answer:

(a) \(4: 7\) oe
(b) \(41.25\) oe

Knowledge points:

E4.4.1 Calculate lengths of similar figures.
E4.4.2 Use the relationships between areas of similar triangles, with corresponding results for similar figures and extension to volumes and surface areas of similar solids.

Solution:

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