Let's think about this. MQ is given to be a length of 24 units, PR a length of 10 whilst we must determine what length PM must be in order to satisfy the criteria of parallelogram MPQR to be a rhombus.
Assume this figure is a rhombus, rhombus MPQR. If that is so, all sides must be congruent, and the diagonals must be perpendicular ( ⊥ ) by " Properties of a Rhombus. " That would make triangle( s ) MRQ and say RMP isosceles, and by the Coincidence Theorem, MS ≅ QS, and RS ≅ PS. Therefore -
PS and MS are legs of a right triangle, so by Pythagorean Theorem we can determine the hypotenuse, or in other words the length of PM. This length would make parallelogram MPQR a rhombus,
<u><em>And thus, PM should be 13 in length to make parallelogram MPQR a rhombus.</em></u>
We know that the shorter side of the rectangle is 1/2 of the longer side (because it's a square folded in half). To meet this condition and to have a perimeter of 24cm, we may assume that the dimension of the rectangle are 8cm x 4cm.
Now if we unfold it, we'll get a square of 8cm x 8cm. To find the are we just need to find 8², which is <u>64 cm²</u>.
divide
4915/72 = 68.2638
so $68.26 per stock is the unit rate
It’s a good range of values so you get an accurate line