A square field of side 10m having same perimeter of a rectangular field. Find the breadth of rectangular field if it's length is 13cm. Which field icoleses more area?
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Answers
Answer:
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Step-by-step explanation:
l=10
2(l+b)=4l
2(13+b)=52
26+2b=52
2b=26
b=13
A square field of side 10m having same perimeter of a rectangular field. Find the breadth of rectangular field if it's length is 13cm. Which field incloses more area?
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Given:-
Side of a square = 10cm
Length of the rectangle field = 13cm
To Find:-
- Width of rectangle
- Comparison of area of rectangle and square.
Concept:-
Perimeter of square = 4 × side or 4a.
Perimeter of rectangle = 2(length + Breadth)
Area of square = Side² or a²
Area of rectangle =length × Breadth or l × b
Calculation:-
Perimeter of square = 4 × 10
= 40 cm
ATQ
Perimeter of square = perimeter of rectangle
let the width of rectangle be x cm.
≈ 40cm = 2(14 + x)
40 cm = 28 + 2x
40 - 28 = 2x
12 = 2x
6 = x.
so , Width of the rectangle is 6 cm.
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Comparison of area of rectangle and square:-
Area of rectangle = l × b
= 13 × 6
= 78 cm²
Area of square = a²
= 10²
= 100cm²
Thus, the area of square is greater than the area of rectangle.