Mathematics

Grade6

Easy

Question

# Find the perimeter of rectangle ABCD.

- 10
- 14
- 16
- 8

Hint:

### We are given a rectangle ABCD plotted on a x-y plane. We are given the coordinates of the corners of the rectangle. Using this information, we are asked to find the perimeter of the rectangle ABCD. Perimeter is a total length of the boundary of the shape it’s enclosing. We can do this by finding the sides of the rectangle and adding them.

## The correct answer is: 16

### The given coordinates of the corner are as follows

A = (3,1)

B = (-2,1)

C = (-2,-2)

D = (3, -2)

Now, we have to find the length of each side.

Length means we have to find the distance between each points. To find the distance between the points, we will use this distance formula.

Let’s find the sides one by one

Side AB has two points A and B. We will find the distance between them.

.

So, the distance of AB is 5 units

Side BC has two points B and C. We will find the distance between them.

So, the distance of BC is 3 units.

Side CD has two points C and D. We will find the distance between them

So, the distance CD is 5 units

Side DA has two points D and A. We will find distance between them.

So, the distance DA is 3 units.

Now we have all fours sides. So, to find the perimeter, we just have to add the sides.

Perimeter of ABCD = AB + BC + CD + DA

= 5 + 3 + 5 + 3

= 16 units

Therefore, perimeter of given rectangle is 16 units.

Instead of finding all four sides, we can just find any two adjacent sides. We can use the forumula of perimeter of rectangle 2(l + b). This distance formula is more useful when the sides of rectangle are not exactly parallel to the coordination axis. We can find length is simpler way as one of the component is zero. Say side AB is parallel to y axis, so it's y component is zero.