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

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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 = a2 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