SOLUTION: hello tutor my name is faisal and i have 2 important questions to ask u 1) if the perimeter of a right traingle is 3 meters and the hypotenuse is 145 cm, what is the length of the

Question 270960: hello tutor my name is faisal and i have 2 important questions to ask u
1) if the perimeter of a right traingle is 3 meters and the hypotenuse is 145 cm, what is the length of the other 2 sides.
2) A picture's area is 10cm by 8cm and the width is also uniform, it is going to be placed on a mat that is twice the area of the picture, what is the width of the mat?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

#1: Let

represent the measure of one leg of your triangle. Let

represent the measure of the other leg. Since the perimeter is 3 meters, which is to say 300 cm, we can write:

It will be convenient to solve for

at this point:

Since this is a right triangle, we can also write:

Substituting:

Just solve for

. You will get two positive roots, one will be one leg of the triangle and the other root will be the other leg of the triangle.

#2: Let

represent the width of the mat. If the picture is 10 by 8, the mat has to be

.

Now the only question is whether the area of the mat mentioned in the problem is the overall area of the mat before you cut the hole for the picture, or the area that remains after you cut the hole for the picture.

If it is the first way:

which simplifies to:

if it is the second way (and this is probably the correct interpretation):

Which simplifies to:

Either way, solve for

. Either way you get a positive and a negative root. Discard the negative root because you are looking for a positive measure of length.

John

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