Question

the following details are noted in metres in the field book of a surveyor. find the area of the fields​

Answer 1

Area of figure (1) is 6250 and figure (2) is 6800 square units

Step-by-step explanation:

From the attachment area of figure (1),

Total area = Area of [(1) + (2) + (3) + (4) + (5)]

$\frac{1}{2}\times 50\times 60+\frac{1}{2}\times 50\times 50+\frac{1}{2}\times 50\times 90+\frac{1}{2}\times (50+30)\times 20+\frac{1}{2}\times 30\times 30$

= 1500 + 1250 + 2250 + 800 + 450

= 6250 unit square

Area of the figure (2),

Total area = Area of [(1) + (2) + (3) + (4) + (5)]

= $\frac{1}{2}\times 30\times 30+\frac{1}{2}(40+30)\times 70+\frac{1}{2}\times 40\times 60+\frac{1}{2}\times 70\times 60+\frac{1}{2}\times 90\times 60$

= 450 + 2450 + 1200 + 2100 + 2700

= 8900 unit square

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Answer 2

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