- Perimeter and Area of Polygons
- Home
- Sides of polygons having the same perimeter
- Finding the missing length in a figure
- Perimeter of a piecewise rectangular figure
- Area of a rectangle involving fractions
- Distinguishing between the area and perimeter of a rectangle
- Areas of rectangles with the same perimeter
- Word problem involving the area of a square or a rectangle
- Finding the side length of a rectangle given its perimeter or area
- Area of a piecewise rectangular figure
- Area between two rectangles
- Finding the area of a right triangle on a grid
- Finding the area of a right triangle or its corresponding rectangle
- Area of a triangle
- Finding the area of a trapezoid on a grid by using triangles and rectangles
- Area involving rectangles and triangles
- Area of a parallelogram
- Area of a trapezoid
- Finding the perimeter or area of a rectangle in the coordinate plane
Area between two rectangles
Introduction
In this lesson, we solve problems involving areas between two rectangles.
A rectangle is given and inside it a smaller rectangle is drawn and then the area between these rectangles is found as follows. Consider the following figure. There is a rectangle L W. Inside it there is another rectangle l w. The area between these rectangles is shaded. We find the area of this shaded region.
Formula for finding area between rectangles
Area between rectangles
= Area of bigger rectangle Area of smaller rectangle
= L × W l × w
Where the length and width of bigger rectangle are L and W and
Length and width of the smaller rectangle are l and w.
Example 1
Find the area between the following pair of rectangles.
Solution
Step 1:
Area of a rectangle = l × w; l = length; w = width
Step 2:
Area between the given pair of rectangles = 25 × 10 18 × 8
= 250 144
= 106 square m
Example 2
Find the area between the following pair of rectangles.
Solution
Step 1:
Area of a rectangle = l × w; l = length; w = width
Step 2:
Area between the given pair of rectangles = 27 × 20 16 5
= 540 80
= 460 square m