Question

the perimeter of a rhombus is hundred centimetre and one of its diagonal is 46 cm long find the find the length of other diagonal. please I beg anyone plz find this question faster please ​

Answer 1

Well

It's easy

If the perimeter of a rhombus is 100 cm, and the length of one diagonal is 48 cm, what is the area of the quadrilateral?

If the perimeter is 100 cm, then each side is 25 cm. If one diagonal is 48 cm, then half of that diagonal is 24 cm.

Each side and 1/2 of each diagonal forms a right triangle. I can use the Pythagorean theorem to find the other 1/2 diagonal.

The other half diagonal = √(25² - 24²) = √(625 - 576) = √49 = 7, so the complete length of the other diagonal is 7 cm x 2, or 14 cm.

The area of a rhombus can be found by: A = (1/2)•d₁•d₂

A = (1/2) • 48 • 14 = 336 cm²

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