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Step-by-step explanation:

By Basic Proportionality Theorem, the triangles UTV and USR are similar.

Let us consider RV as x.

is the required answer, after simplifying it.

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Or if you want to prove it similar:-

In triangle UTV and USR,

Angle TUV = Angle SUR (common)

Angle UVT = Angle URS (Corresponding angles b/w parallel lines)

By AA similarity,

UTV =~ USR.

Hope it helps :)

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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answer: 48

just remember to use pemdas:

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