» The perimeter of a rhombus of side d cm
1 answer:
Given:
The perimeter of a rhombus of side d cm is
To find:
The perimeter of a rhombus of side 3.2 cm.
Find the length of a side of a rhombus of perimeter 14 cm.
Solution:
Side of a rhombus is 3.2 cm. So, its perimeter is
Therefore, the perimeter of a rhombus of side 3.2 cm is 12.8 cm.
The perimeter of another rhombus is 14 cm, and we need find its side.
Divide both sides by 4.
Therefore, the length of a side of a rhombus of perimeter 14 cm is 3.5 cm.
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We have a rectangle with a diagonal included. That means we have to use Pythagorean's Theorem to find the missing dimensions. We start with the width as w. The length is 31 more than twice the width, so the length is 2w+31. The hypotenuse (diagonal) is 2 more than the length, so the diagonal measures 2w+33. In a right triangle, the hypotenuse is always the longest side, so we set up Pythagorean's Theorem using the bolded values as such: . Distributing by multiplying we simplify to
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