10 1. Revision Description Recall how to calculate perimeter of different figures when lengths of boundary sides are given. Reflect and Review Recall how to calculate area of figures formed on square grid of side 1 cm. 2. Perimeter Description The perimeter is the length of the boundary of a closed figure. Teasers 1) Find the perimeter of the figure given below: 1) 32.5 cm 2) 5 sq. cm To find the area of an irregular shape, first we count the full squares inside it. Then we count all the other squares 2) Find the area of the figure given below: which have more than half the area covered. Reflect and Review Perimeter of a Rectangle Perimeter of a rectangle = 2 × ( length + breadth) = 2 × ( l + b) Answers To find the perimeter of a rectangle of length 7.2 cm and breadth 3.5 cm: Teasers Answer s 1) Find the perimeter of the figure given below: 1) 60 cm 2) 198 m 21 cm 9 cm 1 Perimeter of rectangle = 2 × ( l + b) = 2 x (7.2 + 3.5) cm = 21.4 cm Perimeter of a Square Perimeter of a square = 4 × side =4×s To find the perimeter of a rectangle of side 6.4 cm: 2) Find the perimeter of a plot in the shape of a rectangle, having length of 65 m and breadth of 34 m. 1) Find the perimeter of the 1) 60 cm figure given below 2) 42 cm 15cm Perimeter of square =4×s = (4 x 6.4) cm = 25.6 cm 15cm 2) A flash card is made of a small piece of cardboard paper in the shape of a square of side 10.5 cm. Find its perimeter. 3. Area Description Reflect and Review The amount of surface Area is measured in occupied by a closed square units. figure is called its area. 1. If dimensions are in mm, unit of area will be sq. mm or mm2. 2. If dimensions are in cm, unit of area will be sq. cm or cm2. 3. If dimensions are in m, unit of area will be sq. m or m2. 4. If dimensions are in km, unit of area will be sq. km or km2. 2 Teasers Answers Area of a Rectangle Area of a rectangle = Length × Breadth =l×b 1) Find the area of a 1) 14 sq. m To find the area of a rectangle of length rectangle of length 7 5 m and breadth 2.8 2) 378 sq. cm cm and breadth 4 cm: m. Area of rectangle =l×b = 7 x 4 sq. cm = 28 sq. cm Area of a Square Area of a square = Side × Side =s×s Area of a Triangle Area of a triangle = ½ × area of the rectangle 2) What will be the area of a photo frame of length 27 cm and breadth 14 cm? 1) A square tile is of 1) 576 sq. cm To find the area of a side 24 cm. Find its square of length 6 cm: area. 2) 17 m Area of square =sxs = (6 x 6) sq. cm = 36 sq. cm 2) Find the side of a square of area 289 sq. m. To find the area of the triangle in the figure below: Find the area of the following triangles, if each small square has side 1 unit: 1) 4.5 sq. units 2) 2.5 sq. units 1) Area of the rectangle = 2 × 3 = 6 sq. units 2) Since the triangle is half of the rectangle, its area will also be half the area of the rectangle. ∴ Area of the triangle in the given figure = (½ × 6) sq. units = 3 sq. units 3 4. Area of Irregular Shapes Description Reflect and Review The area of an irregular shape can only be approximately estimated, not exactly calculated. Step 1: Place the shape on a 1 × 1 square grid. Step 2: Count the number of complete unit squares covered by the shape. Step 3: Count the number of unit squares which are more than halfcovered by the shape. 4 Step 4: Add all the unit squares obtained in Step 2 and Step 3 to get the total area of the irregular shape. Teasers Answers 12 sq. units To find the area of the Find the area of the shape in the figure below: shape in the figure below: Number of complete unit squares covered is 2. Number of unit squares which are more than half covered is 5. ∴ Total area covered by the figure is (5 + 2) sq. units = 7 sq. units.
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