Worked Example Finding Area and Perimeter of a Trapezium) The figure shows a trapezium ABCD where AB = 12.9 cm, BC =8 cm, CD = 4. cm and AD =7om. If DE=6em, calculate @ the area, (i) the perimeter, of the trapezium. ‘Scanned with CamScanner\ LaaT CSA e) Ae The figure shows a trapezium ABCD where « 132m——> rece 128 Questions 210, 5,11 AB=Sm, BC=6m, CD = 13.2 mand AD=55m, 2~—E | Wf AE= 4m, find ssn hn ( the area, (i) the perimeter, > of the trapezium. (Finding Unknowns in a Trapezium) S, Worked 8 The figure shows a trapezium PORS where \ Example PQ = 15 em and PS= Bem. the area and cm \ the perimeter of the trapezium are 104 em? and 4129 om respectively, calculate the length of I — 4 @ RS, ) OR. ‘Scanned with CamScannerPRACTISE NOW 8 The figure shows a trapezium PQRS where g 10m Exercise 138 Questions 2 PQ=14mand RS= 10m. Ifthe area and the perimeter of the trapezium are 72 m* and 37.2 m respectively, find the length of @ PS, Gi) OR. i 4m 2 Worked (Problem involving Area of a Trapezium) In the figure, a semicircle is removed from a trapezium Example ABCE. COD is the diameter of the semicircle with centre O. If AB = 34cm, DE = 5m, AE=21 cmand CD = 18 cm, calculate the area of the figure. Sem kD 9 ‘ bend " 21cm, A 34m a ‘Scanned with CamScannerPRACTISE NOW 3 A figure is made up of a trapezium ABCD and a semicircle. BOC is the diameter of the semicircle with centre O. If AB = 48 m, CD = 16m, AD = 20 mand BC = 1424 m, find the area of the figure. D_16 20 m Vida m > A 48m B ‘Scanned with CamScannerPerea |. Complete the table for each parallelogram. fa) | 120m | Tem (b) ee (© [7.8mm 42.9 mm? Complete the table for each trapezium: 126 m* 8mm | 72mm 3. The figure shows a parallelogram ABCD where AB = 10 em and BC= 6 em. If DE=9 em, find i) the area, the perimeter, of the parallelogram, \ DY oem ‘Scanned with CamScanner5. The figure shows a trapezium ABCD where AB = 35.5 em, BC = 18 em, CD = 20 em and AD = 16 em. If CE= 15 em, find (the area, ) the perimeter, of the trapezium, mem ORS where and the area 150 m* and 6. The figure shows a trapezium Pi PQ=12 mand PS= 13m. PT =10m, and the perimeter of the trapezium are 154.7 m respectively, find the length of RS, 7 The figure shows a trapezium ABCD where ABs perpendicular to AD, AB= 12 em, BC= 14m and AD= 10cm. Find the area of the shaded regions. em 4 8 re 10cm 1. 4 1.em D c ‘Scanned with CamScannerzm 9. For each of the following figures, find the (total) area of the shaded regions), where O is the Centre ofthe circle. a soy 20 &) wy = Bem 10, In the figure, a parallelogram GHDE and 2 semicircle are removed from a trapezium ABCE, BOC is the diameter of the semicircle with eB centre 0. If AB = 24 em, BC= 15 em, EG= 13 em, AG = 12 em and DF = 16 em, find the area of the figure, £ = b ew c ° 1 Rem een + a en ‘Scanned with CamScannerterand Area of Plane Figures pesie! a om : Sure ' 4 ‘ Rectangle 4 ‘t+ b) tb Triangle q ‘ atbte 1 1 7 Senile Ga retro dated a+) “ — Loan ‘Scanned with CamScanner