- 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

# Word problem involving the area of a square or a rectangle

In this lesson we solve problems involving the areas of squares and rectangles.

**Formula for finding the area of a square**

The area of a square of side length ‘a’ is given by

**Area A = a × a = a ^{2} square units**

**Formula for finding the area of a rectangle**

The area of a rectangle of length l and width w is given by

**Area A = l × w square units**

An envelope is 9 inches long and 6 inches wide. What is the area of the envelope surface?

### Solution

**Step 1:**

Area of a rectangle = l × w; l = length = 9 in; w = width = 6 in

**Step 2:**

Area of given envelope = 9 × 6 = 54 square in

A rectangular pool is 5 meters wide and 9 meters long. What is the area of the pool?

### Solution

**Step 1:**

Area of a rectangle = l × w; l = length = 9; w = width = 5

**Step 2:**

Area of given rectangle = 9 × 5 = 45 square m

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