Assignment Questions: Semester 2 2022 Assignment: 3 Due Date: 13 September 2022 2 Question 1 The straight line distance between two points is known as its The distance between two points is the length of the line segment that connects them. The correct option is: [4] length Question 2 Find the perimeter of the diagram below Perimeter = (10 + 15 + 4 + 4 + 6 + 11) m = 50 m The correct option is: [3] 50 m Question 3 Find the perimeter of the shaded region in the figure below, if ABCD is a square of side 14 cm and APB and CPD are semicircles, rounded off to the nearest integer. Side of a square (AB=BC=AD=CD) = 14 cm Diameter of circle= side of square= 14 cm Radius of circle = 7cm Perimeter of the shaded region = perimeter of semicircle DPC + perimeter of semicircle APB + AD + BC = πr + πr + 14 + 14 = 2 πr + 28 = 2×3.14×7 + 28 = 72 cm Hence, the Perimeter of the shaded region = 72 cm. The correct option is: [1] 72 cm ASSIGNMENT 03 2022 Study material: Chapters 4 and 5 in the Study Guide 3 Question 4 If 1 m = 100 cm, then how many cm 2 are there in a m 2 ? If 1 m = 100 cm, then (1 m) 2 = (100 cm) 2 ⟹1 m 2 = 10 000 cm2 The correct option is: [4] 10 000 cm 2 Question 5 Farmer Bob needs to build a fence for his chickens. The area he wants to build a fence around is 40 m long and the width is half of the length. How many square meters of fence does he need to buy? Length (L) = 40 m Width (W) = Half Length = 40÷2 =20 m The area, A = LW = 40 m × 20 m = 800 m 2 The correct option is: [1] 800 m 2 Question 6 Find the area of triangle ABC: Area of triangle ABC = 0,5×base×h = 0,5×1×1 = 0,5 = 1 cm2 2 The correct option is: [4] 1 cm 2 2 Question 7 From a rectangular metal sheet of sides 25 cm and 20 cm, a circular sheet as large as possible is cut-off. What is the area of the remaining sheet, rounded off to the nearest integer? Area of the remaining sheet = area of the rectangle - area of the circle The diameter of the circle = breadth of the rectangle = 20 cm. Hence the radius of the circle = 10 cm. Area of the remaining sheet = l×b – πr 2 = 25×20 – 3.14× 102 = 500 – 314 =186 cm2 The correct option is: [1] 186 cm 2 4 Question 8 The diagram below is composed of two rectangles and a quarter circle. What is the area of the diagram, to the nearest square centimeter? The radius of the quarter circle = 3 cm Area of the diagram = l×b + l×b+ 1 πr 2= 5×3 + 5×3+ 1 π(3)2 4 4 = 15 + 15 + 7,07 = 37 cm2 The correct option is: [2] 37 cm 2 Question 9 In the diagram below, MATH is a rectangle, GB = 4,6 cm, MH = 6 cm, and HT = 15 cm. What is the area of the shaded region? Area of the shaded region = area of the rectangle, MATH - area of the triangle, MAB = l×b – 0,5×base×h = 15×6 – 0,5×15×4,6 = 90 – 34,5 = 55,5 cm2 The correct option is: [2] 55,5 cm 2 Question 10 An ice cream container is 20 cm long, 10 cm wide and 6 cm high. How many liters of ice cream can it hold? Volume of the container, V = area of the base × perpendicular height = l×b×h = l×b×h = 20 cm × 10 cm × 6 cm =1 200 cm3 1 000 cm3 = 1 liter ⟹1 cm3 = 0,001 liter 1 200 cm3 = 1 200 × 0,001 liters = 1,2 liters The correct option is: [2] 1,2 liters