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.
\(32-9=23\)