The area of a square is 36 square meters. A rectangle has the same perimeter as the square . If the length of the rectangle is 8 cm , find its breadth .
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Given the area of the square = 36m²
We know l² = area of square
m∴l² = 36m²
⇒l = √36m² = 6m
Therefore the side of the square = 6m
Given perimeter of square = perimeter of rectangle
⇒4l = 2(l+b)
⇒4(6) = 2(8 + b) [ ∵ l =8m given]
⇒2(8+b) = 24
⇒8+b = 24/2
⇒8+b = 12
⇒b = 12-8
∴ breadth = 4m
We know l² = area of square
m∴l² = 36m²
⇒l = √36m² = 6m
Therefore the side of the square = 6m
Given perimeter of square = perimeter of rectangle
⇒4l = 2(l+b)
⇒4(6) = 2(8 + b) [ ∵ l =8m given]
⇒2(8+b) = 24
⇒8+b = 24/2
⇒8+b = 12
⇒b = 12-8
∴ breadth = 4m
yasummu:
breadth = 4m
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