# Finding the Area Between Two Rectangles

This article will help you learn how to find and calculate the area that exists between two overlapping 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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