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Dilations and parallel lines

Triangle TUVTUVTUV is dilated by a scale factor of 23\frac{2}{3}32​ to form triangle T′U′V′T'U'V'T′U′V′. What is the measure of side UVUVUV?
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Trapezoid KLMN is dilated by a scale factor of 14 \frac{1}{4} 41​ to form trapezoid K'L'M'N'. Side L'M' measures 888. What is the measure of side LM?\newlineAnswer:
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Trapezoid GHIJ is dilated by a scale factor of 666 to form trapezoid G'H'I'J'. Side GH measures 141414 . What is the measure of side G′H′ \mathrm{G}^{\prime} \mathrm{H}^{\prime} G′H′ ?\newlineAnswer:
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A square with an area of 212121 units 2 ^{2} 2 is dilated by a scale factor of 43 \frac{4}{3} 34​. Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units 2 ^{2} 2
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A triangle with an area of 133133133 units 2 ^{2} 2 is the image of a triangle that was dilated by a scale factor of 34 \frac{3}{4} 43​. Find the area of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units 2 ^{2} 2
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A rectangle with an area of 144144144 units 2 ^{2} 2 is the image of a rectangle that was dilated by a scale factor of 13 \frac{1}{3} 31​. Find the area of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.\newlineAnswer: units 2 ^{2} 2
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