Question Video: Finding the Perimeter of a Given Shape in a Coordinate System | Nagwa Question Video: Finding the Perimeter of a Given Shape in a Coordinate System | Nagwa

Question Video: Finding the Perimeter of a Given Shape in a Coordinate System Mathematics • Sixth Year of Primary School

Given that the coordinates of points 𝐶 and 𝐷 are (7, 5) and (7, 4) respectively, find the perimeter of the figure 𝐴𝐵𝐶𝐷.

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Video Transcript

Given that the coordinates of points 𝐶 and 𝐷 are seven, five and seven, four, respectively, find the perimeter of the figure 𝐴𝐵𝐶𝐷.

So the first thing we’ve done is marked our points 𝐶 and 𝐷 onto our diagram. And then what we can do is join our points to create our figure 𝐴𝐵𝐶𝐷. Now, what we can do is check out the axes. And in our axes, we can see that every square is equal to one unit. So therefore, we can count from 𝐵 to 𝐶. This is three units. 𝐶 to 𝐷 is one unit. 𝐷 to 𝐴 is three units. And 𝐴 to 𝐵 is one unit. So therefore, as we’ve got two pairs of equal parallel sides, we can see that this is in fact a rectangle.

So to find the perimeter, what we want to do is find the distance around the outside. And the simplest way of doing that is by adding three, one, three, and one. And this gives us a perimeter of eight. So what we’ve done is we formed the figure 𝐴𝐵𝐶𝐷 and found its perimeter.

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