Answered

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The points B(5,7) , C(0,7) ,D(−3,4), and E(2,4) form parallelogram BCDE. Plot the points then click the "Graph Quadrilateral" button. Then find the perimeter of the parallelogram. Round your answer to the nearest tenth if necessary.

Sagot :

So,

We're asked to find the perimeter of the parallelogram formed by the points:

To do this, we are going to find the distance between each point (vertice) of the parallelogram and then sum them all. To find the distance between two points, we could use the following formula:

As you can see, we could use this formula for segments DC and EB.

The distance of segments DE and CB is too much easier to find because both segments are horizontal lines, so we only need to count. Now,

-Distance of segment DE: 5

-Distance of segment CB: 5

Now, let's use the formula to find the distance of DC:

Now, adding all distances up, the perimeter of the parallelogram BCDE equals:

The answer is 18.5.

View image CalliopeK172232
View image CalliopeK172232
View image CalliopeK172232
View image CalliopeK172232
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