the perimeter of a rectangular sheet is 100 cm. if the length is 35 cm, find its breadth. also find the area.
Answers
Perimeter of a rectangle, P=2(l+b)=100cm
Here. l= length=35cm
b= breadth
So, 100=2(35+b)⇒b+35=50
b=50−35=15cm
So, Area of rectangle, A=l∗b=35∗15=525cm2
Answer:
Given:
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▪︎Perimeter of rectangular sheet = 100cm
▪︎Length of rectangular sheet = 35cm
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To Find:
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▪︎Breadth of rectangular sheet
▪︎Area of rectangular sheet
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Solution:
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Let the breadth of rectangular sheet be x cm
According to given conditions,
Perimeter of rectangular sheet = 100cm
= 2(length + breadth) = 100cm
= 2(35 + b) = 100cm
= 35 + b = 100 ÷ 2
= b = 50 - 35
= b= 15
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Hence, breadth of rectangular sheet = 15cm
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Area of sheet = length × breadth
= 35 × 15
= 525cm²
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Formula to be remembered:
▪︎Perimeter of rectangle = 2(length + breadth)
▪︎Area of rectangle = length × breadth
▪︎Perimeter of square = 4 × Side
▪︎Area of square = Side²
▪︎Perimeter of triangle = Sum of all sides
▪︎Area of triangle = ½ × base × height
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀or
⠀⠀⠀⠀⠀⠀⠀⠀⠀ By Heron's Formula.