Advertisements
Advertisements
प्रश्न
Find the area of the following fields. All dimensions are in metres.
Advertisements
उत्तर
Area of the given figure
= Area of ΔDCF + Area of ΔEGD + Area of trapezium FCBH + Area of ΔEGA + Area of ΔAHB
∴ Area of ΔDCF = `1/2` × Base × Height
= `1/2 xx 100 xx 100`
= `10000/2`
= 5000 m2
Area of ΔEGD = `1/2` × Base × Height
= `1/2 xx 120 xx 180`
= 60 × 180
= 10800 m2
Area of trapezium = `1/2` × [Sum of parallel sides] × Height
= `1/2 xx [100 + 50] xx 110`
= `1/2 xx 150 xx 110`
= 75 × 110
= 8250 m2
Area of ΔEGA = `1/2` × Base × Height
= `1/2 xx 120 xx 80`
= 60 × 80
= 4800 m2
Area of ΔAHB = `1/2` × Base × Height
= `1/2 xx 50 xx 50`
= 25 × 50
= 1250 m2
Thus, the area of the complete figure
= 5000 + 10800 + 8250 + 4800 + 1250
= 30100 m2
APPEARS IN
संबंधित प्रश्न
The shape of the top surface of a table is a trapezium. Find its area if its parallel sides are 1 m and 1.2 m and perpendicular distance between them is 0.8 m.
The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are equal, each being 10 cm, find the area of the trapezium.
Find the area of a trapezium whose parallel sides are 25 cm, 13 cm and the other sides are 15 cm each.
Find the area enclosed by each of the following figures [Fig. 20.49 (i)-(iii)] as the sum of the areas of a rectangle and a trapezium:
☐ PQRS is an isosceles trapezium l(PQ) = 7 cm. seg PM ⊥ seg SR, l(SM) = 3 cm, Distance between two parallel sides is 4 cm, find the area of ☐ PQRS.
The parallel sides of a trapezium are in ratio 3: 4. If the distance between the parallel sides is 9 dm and its area is 126 dm2; find the lengths of its parallel sides.
The two parallel sides and the distance between them are in the ratio 3: 4: 2. If the area of the trapezium is 175 cm2, find its height.
The area of a trapezium is 279 sq.cm and the distance between its two parallel sides is 18 cm. If one of its parallel sides is longer than the other side by 5 cm, find the lengths of its parallel sides.
Find the area of the trapezium ABCD in which AB || DC, AB = 18 cm, ∠B = ∠C = 90°, CD = 12 cm and AD = 10 cm.
The area of a trapezium is 1586 sq.cm. The distance between its parallel sides is 26 cm. If one of the parallel sides is 84 cm then find the other side
