# Imagine you have a mattress, that is 160 units wide, 200 units long and 20 units thick. If you want to buy a bed sheet that fits the mattress, with a 5 unit overlap on all sides, what are the dimensions of the sheet?

Dimensions of the sheet should be

Length and breadth of the mattress is

Now the overlap should

as such while length should be

and width should be

i.e. dimensions of the sheet should be

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- A parallelogram has sides with lengths of #15 # and #12 #. If the parallelogram's area is #54 #, what is the length of its longest diagonal?
- A parallelogram has sides with lengths of #15 # and #8 #. If the parallelogram's area is #48 #, what is the length of its longest diagonal?
- Two rhombuses have sides with lengths of #4 #. If one rhombus has a corner with an angle of #(11pi)/12 # and the other has a corner with an angle of #(3pi)/4 #, what is the difference between the areas of the rhombuses?
- It is given that line MO = line TR and line NP = line QS, where MNOP and TQRS are parallelograms. A student has said that if those statements are true, then MNOP = TQRS. Why is this student incorrect?
- Two opposite sides of a parallelogram each have a length of #9 #. If one corner of the parallelogram has an angle of #(3pi)/8 # and the parallelogram's area is #36 #, how long are the other two sides?

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