- Perimeter and Area of Polygons
- Home
- Sides of polygons having the same perimeter
- Finding the missing length in a figure
- Perimeter of a piecewise rectangular figure
- Area of a rectangle involving fractions
- Distinguishing between the area and perimeter of a rectangle
- Areas of rectangles with the same perimeter
- Word problem involving the area of a square or a rectangle
- Finding the side length of a rectangle given its perimeter or area
- Area of a piecewise rectangular figure
- Area between two rectangles
- Finding the area of a right triangle on a grid
- Finding the area of a right triangle or its corresponding rectangle
- Area of a triangle
- Finding the area of a trapezoid on a grid by using triangles and rectangles
- Area involving rectangles and triangles
- Area of a parallelogram
- Area of a trapezoid
- Finding the perimeter or area of a rectangle in the coordinate plane

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# Finding the perimeter or area of a rectangle in the coordinate plane

In this lesson, we are given rectangles in the coordinate plane. We are required to find the perimeters and the areas of these rectangles. We read the coordinates of the vertices of these rectangles and can count the lengths of the sides of the rectangles from the grid.

Once the lengths and widths are knows we can find the perimeters and areas of these rectangles.

Alternatively, we can count the number of unit squares on the grid to find the areas and along the boundary to find the perimeters of the rectangles.

Find the area and perimeter of the following rectangle.

### Solution

**Step 1:**

Area of a rectangle = l × w; l = length = 5; w = width = 4

**Step 2:**

Perimeter of the rectangle = 5 + 4 + 5 + 4 = 18 units

Area of the rectangle = 5 × 4 = 20 square units.

Find the area and perimeter of the following rectangle.

### Solution

**Step 1:**

Area of a rectangle = l × w; l = length = 7; w = width = 4

**Step 2:**

Perimeter of the rectangle = 7 + 4 + 7 + 4 = 22 units

Area of the rectangle = 7 × 4 = 28 square units.