The figure (ii) given below shows a field with the measurements given in metres. Find the area of the field.
Mensuration
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Question

The figure (ii) given below shows a field with the measurements given in metres. Find the area of the field.

KnowledgeBoat · Accepted Answer

From figure, Area of right angled △AXB = × base × height = × BX × AX = × 30 × 12 = 180 m². Area of trapezium XZCB = (sum of parallel sides) × distance between them = × (BX + CZ) × 15 = × (30 + 25) × 15 = × 55 × 15 = 412.5 cm². Area of right angled △CZD = × base × height = × CZ × ZD = × 25 × 10 = 125 m². Area of △AED = × base × height = × AD × EY = × 37 × 20 = 370 m². Area of field = Area of right angled △AXB + Area of trapezium XZCB + Area of right angled △CZD + Area of △AED = 180 + 412.5 + 125 + 370 = 1087.5 m². Hence, area of field = 1087.5 m².

Mathematics

The figure (ii) given below shows a field with the measurements given in metres. Find the area of the field.

Mensuration

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