19/03/2020Area and Perimeter of Plane Shapes(Study by Topics Junior Class) 0Comments by Gate Academy Welcome to your Area and Perimeter of Plane Shapes(Study by Topics Junior Class) NAME EMAIL PHONE NUMBER 1. Find the perimeter of a rectangle of sides (a + 2) and (a - 2). 4a 4a - 8 a + 4 2a 2a - 42. Calculate the perimeter of a football field which measures 60 m by 40 m. 200 m 100 m 2400 m 120 m 20 m3. A trapezoid ABCD has the bases length of a = 120 mm, c = 86 mm and the area A = 2,575 mm^{2}. Find the height of the trapezoid. 7.5 mm 31 mm 15.7 mm 25 mm4. A square field has a perimeter of 48 m. Find the area of the field. 24 m² 96 m² 144 m² 12 m² 48 m²5. Find the length of the diagonal of a rectangle whose length and breadth are 8 cm and 6 cm respectively. 12 cm 10 cm 15 cm 7 cm 11 cm6. A classroom of length (2b + 1) has breadth 'b'. What is the perimeter of the classroom? 2b + 1 6b + 2 3b + 1 b + 17. Calculate the perimeter of a semi-circle whose diameter is 14 cm. 14 cm 22 cm 11 cm 36 cm 58 cm8. Lengths of the sides of a rectangular garden are in the ratio 1 : 2. Line connecting the centers of the adjacent sides of the garden is 20 m long. Calculate the perimeter of the garden. 65 56√7 m 12√5 m 48√5 m9. If the area of a circle is 154 cm², what is the diameter of the circle? 30 cm 7 cm 14 cm 28 cm 21 cm10. One of the internal angles of the rhombus is 120° and the shorter diagonal is 3.4 meters long. Find the perimeter of the rhombus. 21.7 m 16 m 13.6 m 28 m11. A perimeter of a parallelogram is 2.8 meters. The length of one of its sides is equal to one-seventh of the entire perimeter. Find lengths of the sides of the parallelogram. a = 1.4 m, b = 1.9m a = 4 m, b = 1.5 m a = 0.7 m, b = 2 m a = 0.4 m, b = 1 m12. Find the radius of a circle having 154 cm² as its area. (π = ^{22}/_{7}) 3.5 cm 49 cm 24.5 cm 14 cm 7 cm13. Three points, R, S, and T marked the edges of a garden plot. If |RS| = 5 m, |ST| = 13 m, and |RT| = 12 m, find the area of the garden plot. 27 m² 8 m² 30 m² 28 m² 15 m²14. Find the perimeter of a circle if its area is 706.5 cm^{2}. 121 cm 45.7 cm 94.2 cm 53 cm15. In the isosceles trapezoid ABCD we know: AB||CD, |CD| = c = 8 cm, height h = 7 cm, |∠CAB| = 35°. Find the area of the trapezoid. 31.53 cm² 47.54 cm² 69.98 cm² 12.73 cm²16. The perimeter of a rectangle is 20 cm. If the breadth is 4 cm, find its area. 16 cm² 18 cm² 40 cm² 24 cm² 20 cm²17. Calculate the area of a circular field of diameter 6 m, correct to 2 s.f. (Take π = 3.14) 9.4 m² 28 m² 112 m² 29 m² 28.3 m²18. The length of a board is twice its width. If its perimeter is 3.60 m, what is its width in cm? 60 cm 150 cm 120 cm 240 cm 100 cm19. A perimeter of an isosceles triangle is 474 m. The base of the triangle is by 48 m longer than the arm. Find the length of the sides and the area of the triangle. a = b = 142 m, c = 142 m, A = 2,026.44 m a = b = 142 m, c = 190 m, A = 10,026.44 m a = b = 142 m, c = 12.4 m, A = 16,026.44 m a = b = 112 m, c = 14 m, A = 15,026.44 m20. 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 mm²21 out of 20Time is Up!