# Finding the Area Between Two Rectangles

## A step-by-step guide to finding the area between two rectangles

The formula of the area of a rectangle is: A$$=$$l$$×$$w
To discover the area between two rectangles, follow these 3 steps:
Step 1: Identify the length (l) and width (w) of the larger rectangle. Then, find the area of the larger rectangle via this formula $$A_{B}=l_{B}×w_{B}$$.
Step 2: Identify the length (l) and width (w) of the smaller rectangle. Then, determine the area of the smaller rectangle via this formula $$A_{S}=l_{S}×w_{S}$$
Step 3: Subtract the area of the smaller rectangle from the area of the bigger rectangle to find the area between the two rectangles.

### Finding Area Between Two Rectangles – Examples 1

Calculate the shaded area of this shape.

Calculate the shaded area of this shape.
Solution:
Step 1: Find the area of the larger rectangle via this formula $$A_{B}=l_{B}×w_{B}. 12×12=144$$
Step 2: Find the area of the lesser rectangle via this formula $$A_{S}=l_{S}×w_{S}$$$$5×6=30$$
Step 3: Subtract the area of the lesser rectangle from the area of the bigger rectangle to find the area between the two rectangles.
$$144-30=114$$

### Finding Area Between Two Rectangles – Examples 2

Calculate the shaded area of this shape.

Solution:
Step 1: Find the area of the larger rectangle via this formula $$A_{B}=l_{B}×w_{B}. 4×8=32$$
Step 2: Find the area of the lesser rectangle via this formula $$A_{S}=l_{S}×w_{S}$$$$3×3=9$$
Step 3: Subtract the area of the lesser rectangle from the area of the bigger rectangle to find the area between the two rectangles.
$$32-9=23$$

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