Area of a Rectangle Calculator

Area of a Rectangle Example 1

Find the area of the rectangle below.

The length of rectangle is 12 cm and the width is 7 cm.

The area of a rectangle

\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.

So if we substitute the values of the length and width into this equation, we get: \[ A = 12 \times 7 = 84 \]

The area of the rectangle is 84 cm².

Area of a Rectangle Example 2

Find the area of the rectangle below.

The length of rectangle is 2.4 m and the width is 0.7 m.

The area of a rectangle

\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.

So if we substitute the values of the length and width into this equation, we get: \[ A = 2.4 \times 0.7 = 1.68 \]

The area of the rectangle is 1.68 m².

Area of a Rectangle Example 3

Find the area of the rectangle below giving your answer as a mixed fraction.

Although this shape is tilted, it is still a rectangle.

The length of rectangle is 3 ½ inches and the width is 8 ½ inches.

The area of a rectangle

\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.

So if we substitute the values of the length and width into this equation, we get: \[ A = 3 {1 \over 2} \times 8 {1 \over 2} = {119 \over 4} = 29 {3 \over 4} \]

The area of the rectangle is 29 ¾ square inches.

Area of a Rectangle Example 4

Find the area of the rectangle below. Give your answer in cm².

The length of rectangle is 2.1 m and the width is 45 cm.

First we need to convert 2.1 m into cm so that both measurements have the same units of measure.

1 m = 100 cm so 2.1 m = 2.1 x 100 = 210 cm

The area of a rectangle

\[ A = l \cdot w \; \] where l is the length and w is the width of the rectangle.

So if we substitute the values of the length and width into this equation, we get: \[ A = 210 \times 45 = 9450 \]

The area of the rectangle is 9450 cm².