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vazorg [7]
3 years ago
6

What is the perimeter of rectangle JKLM?

Mathematics
2 answers:
KIM [24]3 years ago
3 0

Answer: Third option.

Step-by-step explanation:

The missing figure is attached.

The perimeter of a rectangle can be calculated with:

P=2l+2w

Where "l" is the length and "w" is the width.

We can see that the width of this rectangle is:

w=12\ units

So, we need to find the lenght.

Let be P the point  of intersection of the diagonals.

The diagonals of a rectangle are equal.

Since:

JM=12\\MO=10

We know that, by definition:

JP=LP=MP=KP

Then, we can find the lenght of the rectangle by using the Pythagorean Theorem:

MK^2=KL^2+LM^2

We can identify that:

MK=10\ units+10\ units=20\ units\\KL=12\ units

Then, subsituting values and solving for "LM", we get:

20^2=LM^2+12^2\\\\LM=\sqrt{20^2-12^2}\\\\LM=16\ units

Substituting values into the formula for calculate the perimeter, we get:

P=2(16}\ units)+2(12\ units)=56\ units

bagirrra123 [75]3 years ago
3 0

Answer:

C

Step-by-step explanation:

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