Question

The sides of a rectangle measure 14 and 21. The perimeter of a similar rectangle is 40. What are the lengths of its Sides

Answer 1

8 and 12

Explanation:

The perimeter of the given rectangle is ...

P = 2(L +W)

P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

similar perimeter/original perimeter = 40/70 = 4/7

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The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

(14)(4/7) = 8

(21)(4/7) = 12

The sides of the similar triangle are 8 and 12.