Of the two square fields, the area of one is 1 hectare while the other one is broader by 1%. The difference in their areas is
Answer is 201 m sq please explain it and give right answer
Answers
The difference in the areas of the two square fields is 201-meter square.
Step-by-step explanation:
Step 1:
Area of the first square filed is given as = 1 hectare = 10⁴ m²
Let the side of the first square field be denoted as “s₁” m.
Since the area of square = side²
∴ s₁ = √[10⁴] = 100 m
Step 2:
Let the side of the second square field be denoted as “s₂” m.
It is given that the second field is 1% broader than the first field, therefore,
s₂ = s₁ + (1% of s₁) = 100 + (0.1*100) = 101 m
Step 3:
Thus,
The difference in the areas of the two square fields is given as,
= [s₂]² – [s₁]²
= [101]² – [100]²
= 10201 – 10000
= 201 m²
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