Homework Chapter 14. Areas. Exercise 1. TeeJay Publishers General Homework for Book 3G Ch 14 - Areas

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1 Areas Homework Chapter 14 Exercise 1 1. Write down the areas (in cm 2 ) of each of the following shapes : = 1 cm 2 (e) 2. Find the shaded area in each of these :- 3. Write down the areas of these two shapes :- this is Chapter Fourteen page 79

2 4. Estimate the area of this shape as carefully as you can in cm 2. DO NOT MARK THIS SHAPE Exercise 2 1. Calculate the area of each of the following rectangles. (in each case, make a small sketch of the rectangle, write down the rule A = l x b and calculate the area in cm 2 ). 5cm 13 cm (e) (f) 40 cm 2. Calculate the area of carpet needed for each of these ballrooms :- 20 m 17 m 25 m 24 m 20 m 35 m this is Chapter Fourteen page 80

3 Exercise 2E 1. Make a neat sketch of this parallelogram. Use the formula, A = b x h, to calculate its area. (in cm 2 ) 2. Make a small neat sketch of each parallelogram here and calculate each area : (Does NOT have to be full size) 1 20 mm 3 15 mm (e) (f) cm 8 m 50 m 3. The sign on the side of this van is in the shape of a parallelogram. Calculate the area of the sign. 0 8 m TEEJAY PUBLISHERS 2 4 m this is Chapter Fourteen page 81

4 4. Which has the bigger area, the square or the parallelogram? By how much? 5. The AREA of this parallelogram is 8 2. Calculate what its height must be. h =? Exercise 2E 1. Make a small neat sketch of this rhombus. Draw in the (dotted) surrounding rectangle. Calculate the area of the rectangle. Now calculate the area of the rhombus. 2. Make a neat sketch of each rhombus here, showing the surrounding rectangle. Calculate the area of the rectangle, then the area of the rhombus : 11 cm 8 mm 1 2 cm 2 15 mm this is Chapter Fourteen page 82

5 3. Make an accurate drawing of this kite using a ruler. Calculate the area of the surrounding rectangle. Now calculate the area of the kite cm 4. Make a neat sketch of each kite here, showing the surrounding rectangle. Calculate the area of the rectangle, then the area of the kite : 20 mm 6 12 mm 5. By how much is the area of the rhombus bigger than that of the kite? this is Chapter Fourteen page 83

6 Exercise 3 1. Make an accurate drawing of this right angled triangle. Complete the figure by drawing the surrounding rectangle. Calculate the area of the rectangle. Now write down the area of the triangle. 2. For the following right angled triangles : (i) make a small neat sketch (ii) draw the surrounding rectangle (iii) find the area of the rectangle (iv) calculate the area of the triangle 11 cm 3. Sketch each right angled triangle (roughly, but using a ruler). Use the formula, A = 1 2 (l x b) to calculate the area each time. 13 cm This corner shelf is in the shape of a right angled triangle. 32 cm Calculate the area of the triangle. this is Chapter Fourteen page 84

7 Exercise 4 1. Make an accurate drawing of this triangle. Draw the surrounding rectangle. Calculate the area of the rectangle. Now write down the area of the triangle. 2. Use the formula Area = 2 1 (l x b) each time to calculate the areas of the following triangles (make a neat sketch of each triangle) : 13 cm 1 1 (e) (f) Which of the two sails from the yacht has the bigger area and by how much is it bigger than the other one? 4. Calculate the shaded area of this triangle. Sail A 4 m 5 m 7 m Sail B 3 m 6 mm 11 mm this is Chapter Fourteen page 85

8 Exercise 5 1. Calculate the area of the big rectangle (A). Calculate the area of the small rectangle (B). Calculate the total area of the shape. A B 3 cm 2. For each of these : (i) Make a neat sketch. (ii) Calculate the area of each part (show working). (iii) Calculate the area of the whole shape. 2 2 (e) 6 m 20 m 30 m this is Chapter Fourteen page 86

9 Exercise 6E 1. Make a neat sketch of this trapezium. (it does not need to be accurate). Draw in the diagonal line (dotted). Calculate the area of ΔX and ΔY. Y X Calculate the overall area of the trapezium. 2. Make a neat sketch of each of the following trapezia (plural of trapezium) and calculate the area of each : 10 mm 9 mm 1 12 mm cm 3. Calculate the area of this shape by splitting it into three shapes, a rectangle and two trapezia. 3 cm 3 cm this is Chapter Fourteen page 87