Engineering Board Exam Reviewer · Quadrilaterals · medium

A rhombus has an area of 96 and one diagonal of 12. Find its perimeter.

  1. 20
  2. 48
  3. 80
  4. 40

Answer

D. 40

Solution

Area= 12d1d2 d2=2(96)/12=16. The side is sqrt(62+82)=10, so the perimeter is 40.

More Quadrilaterals questions

  1. Two adjacent sides of a parallelogram are 8 and 12, and the angle between them is 30°. Find its area.
  2. Find the area of a trapezoid with parallel sides 8 and 14 and a height of 6.
  3. The diagonals of a rhombus are 10 and 24. Find the length of its side.
  4. Find the diagonal of a square whose side is 10.
  5. Find the area of a rectangle that is 12 units long and 7 units wide.
  6. Find the area of a trapezoid with parallel sides 8 cm and 14 cm and height 6 cm.
  7. A rhombus has diagonals of 12 cm and 16 cm. Find its area.
  8. Find the length of the diagonal of a rectangle with sides 9 cm and 12 cm.
  9. A parallelogram has sides of 10 cm and 14 cm, with an included angle of 60°. Find its area.
  10. Find the sum of the interior angles of any quadrilateral.

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