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Subunit : Area of Rectangles Area of square 24.Area

Definition of a Rectangle A rectangle is a quadrilateral with opposite sides that are equal and parallel and with four right angles. A rectangle is a quadrilateral with opposite sides that are equal and parallel and with four right angles.

Definition of Area Area The measure of place occupied on a flat surface is called Area of the figure. Area The measure of place occupied on a flat surface is called Area of the figure. units units sq. cm or cm 2 (square centimeter) sq. cm or cm 2 (square centimeter) sq. m or m 2 (square meter) sq. m or m 2 (square meter)

What are length and breadth? In order to calculate the area of a rectangle, you need to know the length and width of the rectangle. In order to calculate the area of a rectangle, you need to know the length and width of the rectangle. Length (l) is the measure of one side of the rectangle. Length (l) is the measure of one side of the rectangle. Breadth (b) is the measure of an adjacent side of the rectangle. Breadth (b) is the measure of an adjacent side of the rectangle. Breadth(b)

Finding Area This rectangle is has a length of 6 units and a width of 3 units. This rectangle is has a length of 6 units and a width of 3 units. To find the area of this rectangle count the number of squares (units). To find the area of this rectangle count the number of squares (units). The area of this rectangle is 18 units. The area of this rectangle is 18 units.

Calculating Area You may not always have a rectangle with squares (units) inside of it, so you need a formula. You may not always have a rectangle with squares (units) inside of it, so you need a formula. The formula for calculating the area of a rectangle is A = l x b. The formula for calculating the area of a rectangle is A = l x b. A is area A is area l is length l is length b is breadth b is breadth Breadth(b)

Example Let’s do an example problem. Let’s do an example problem. What are the dimensions of the red rectangle? What are the dimensions of the red rectangle? l = 10 cm l = 10 cm b = 3 cm b = 3 cm A = l x b A = l x b A = 10 cm x 3 cm A = 10 cm x 3 cm A = 30 cm 2 A = 30 cm 2 The area of the red rectangle is 30 cm 2. The area of the red rectangle is 30 cm 2.

Practice! Rectangle10m 17m A = l x b A = 17m x 10m A = 170 sq.m

A Real Life Example Suresh is putting carpet in a bedroom that measures 14 ft by 12 ft. How many square feet of carpet does Suresh need? Suresh is putting carpet in a bedroom that measures 14 ft by 12 ft. How many square feet of carpet does Suresh need? What do you know? What do you know? The dimensions of the room is 14 ft by 12 ft. The dimensions of the room is 14 ft by 12 ft. l = 14 ft l = 14 ft b = 12 ft b = 12 ft A = l x b A = l x b A = 14 ft x 12 ft A = 14 ft x 12 ft A = 168 ft 2 A = 168 ft 2 Suresh needs 168 ft 2 of carpet. Suresh needs 168 ft 2 of carpet.

Subunit : Area of square 24.Area

Definition of Area Area The measure of place occupied on a flat surface is called Area of the figure. Area The measure of place occupied on a flat surface is called Area of the figure. units units sq. cm or cm 2 (square centimeter) sq. cm or cm 2 (square centimeter) sq. m or m 2 (square meter) sq. m or m 2 (square meter)

Calculating Area Area of square = side × side Area of square = side × side = x × x = x × x = x 2 = x 2 A is area A is area x is length of side x is length of side

Example Let’s do an example problem. Let’s do an example problem. 1 What is the area of this square? 1 What is the area of this square? Solution Solution Area =x 2 = x × x Area =x 2 = x × x = 3.2 × 3.2 = 3.2 × 3.2 = cm 2 = cm 2

Practice! Rectangle 17m 17m Area =x 2 = x × x = 17 × 17 = 289 cm 2

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