Welcome to your Area and Perimeter of Plane Shapes(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Find the area of a parallelogram whose base and height are 46 cm and 12 cm respectively. 276 cm² 552 cm² 58 cm² 116 cm² 2. A right-angled triangle ABC has the legs a = 5 cm, b = 8 cm. A triangle A'B'C' is similar to the triangle ABC and it is 2.5 times smaller. Calculate what percentage of the area of the triangle ABC takes the area of the triangle A'B'C'. 16% 7% 23% 75% 3. Calculate the area of a circular field of diameter 6 m, correct to 2 s.f. (Take π = 3.14) 28 m² 29 m² 28.3 m² 112 m² 9.4 m² 4. Find the radius of a circle having 154 cm² as its area. (π = ^{22}/_{7}) 7 cm 14 cm 24.5 cm 3.5 cm 49 cm 5. What is the area of a trapezoid that has a base of 2 inches, a base of 4 inches and a height of 3 inches? 6 sq. inches 24 sq. inches 9 sq inches 15 sq. inches 6. Consider the isosceles trapezoid PQRS. The bases are |PQ| = 120 mm, |RS| = 62 mm and the arm s = 48 mm. Find the height of the trapezoid, diagonal length and the area of the trapezoid h = 38.25 mm, d = 98.71 mm, A = 3,480.68 mm² h = 77.25 mm, d = 91.15 mm, A = 380.53 mm² h = 58.22 mm, d = 8.71 mm, A = 3,480.68 mm² h = 38.25 mm, d = 98.71 mm, A = 5,480.68 mm² 7. A square field has a perimeter of 48 m. Find the area of the field. 48 m² 96 m² 12 m² 144 m² 24 m² 8. An equilateral triangle of sides 16 cm has the same perimeter of a square. The area of the square in cm² is? 96 64 256 144 9. The length of a diagonal of a 3 cm wide rectangle is 5 cm. Find the area of the rectangle. 15 cm² 10 cm² 12 cm² 20 cm² 10. A land of a right-angled trapezoid shape has the bases lengths of 92 m and 76 m and the vertical arm is 6.3 m long. Find the land area and the length of a fencing needed to fence the land. A = 29.4 m², P = 194 m A = 529.2 m², P = 191.5 m A = 12.2 m², P = 91.5 m A = 342 m², P = 19 m 11. Find the perimeter and the area of a square, if we know the length of its diagonal d = 4.2 m. P = 11.88 m, A = 8.82 m² P = 18 m, A = 88 m² P = 6.3 m, A = 12.5 m² P = 15.3 m, A = 8.82 m² 12. What is the area of a triangle that has a height of 9cm and a base of 4 cm? 43 sq cm 13 sq cm 36 sq cm 18 sq cm 13. Find the length of the diagonal of a rectangle whose length and breadth are 8 cm and 6 cm respectively. 15 cm 12 cm 7 cm 11 cm 10 cm 14. If the area of a circle is 154 cm², what is the diameter of the circle? 30 cm 21 cm 7 cm 28 cm 14 cm 15. Calculate to the nearest whole number the perimeter of a circle whose radius is 6cm. 39 cm 37 cm 38 cm 36 cm 16. Calculate the length of the side of a square whose area is 1089 cm². 33 cm 21 cm 32 cm 23 cm 103 cm 17. A square has a perimeter of 24 cm. Find its area in cm². 24 cm² 72 cm² 48 cm² 36 cm² 96 cm² 18. The length of a board is twice its width. If its perimeter is 3.60 m, what is its width in cm? 120 cm 60 cm 100 cm 240 cm 150 cm 19. Find the area of the rectangle ABCD, where the length of the side |AB| = a = 8.2 cm and the diagonal d = 2a. 29.2 cm² 116.46 cm² 32.5 cm² 98.5 cm² 20. Two concentric circles have radii 2 cm and 3 cm respectively, calculate the ratio of their areas. 4 : 9 7 : 88 8 : 18 7 : 198 9 : 88 1 out of 20 Time is Up! Time's up