ACT 2021 April(D05) Math Question 10 Explanation - ACT Helper

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2021 April(D05) Math Question 10
Perimeter, Area, Volume
- Triangles, Squares, Rectangles, Circles
Perimeter of Rectangle
Choice H
$L e n g t h_{B} = \frac{3}{4} \times L e n g t h_{A} = \frac{3}{4} \times 64$
$W i d t h_{B} = \frac{3}{4} \times W i d t h_{A} = \frac{3}{4} \times 48$
$L e n g t h_{C} = \frac{3}{4} \times L e n g t h_{B} = \frac{3}{4} \times \frac{3}{4} \times 64 = 36$
$W i d t h_{C} = \frac{3}{4} \times W i d t h_{B} = \frac{3}{4} \times \frac{3}{4} \times 48 = 27$
$∴ P e r i m e t e r_{C} = 2 \times (L e n g t h_{C} + W i d t h_{C}) = 2 \times (37 + 26) = 126$
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