the perimeter of a rectangle is 26 CM if its length is 3 cm more than its breadth find the dimension of the rectangle
Answer · 75 votes
Question :The perimeter of a rectangle is 26 CM if its length is 3 cm more than its breadth find the dimension of the rectangle.Formulas Used:[tex]{\boxed{\sf{\green{Perimeter\: of\: rectangle=2(length+breadth)}}}}[/tex]Solution ;Given : Perimeter of reactangle =26cmLet the breadth of reactangle be x cm .⇒Legth of reactangle =x+3 cmPerimeter of rectangle=2(l+b)⇒26 = 2(x+3+x)⇒26=2(2x+3)⇒13 = 2x+3⇒10=2x⇒ x=5Therefore Dimensions of reactangle length ,x+3 =5+3=8 cmBreadth ,x=5cm__________________________Verification:Length =8cmbreadth=5cmperimeter = 2(l+b)=2(5+8)=26 cm
Question
The perimeter of a rectangle is 26 cm. If its length is 3 cm more than its breadth, find the dimensions of the rectangle.
Answer · 32 votes
Let breadth be x cm.Length = x + 3 cmPerimeter of rectangle = 26 cm 2(l + b) = 26 x + 3 + x = 13 2x = 10 x = 5 Therefore,Breadth = 5 cmLength = 8 cm
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Question
The perimeter of a rectangle is 26cm. If its length is 3cm more than its breadth, find the dimensions of the rectangle.
Answer ·
Hint:We will use the formula of perimeter of the rectangle: $2\left( {l + b} ight)$ , where l is the length of the rectangle and b is the breadth of the rectangle. We will write the length of the rectangle in terms of the breadth of the rectangle and then put their value in the formula of the perimeter. Complete step by step solution:We are given the perimeter of the rectangle as 26cm.It is also stated that the length of the rectangle is 3cm more than the breadth of the rectangle. Let ABCD be the rectangle and its breadth BC be x cm. Therefore, the length of the rectangle of the rectangle will be $AB = x + 3$ cm.Putting the value of the length and the breadth of the rectangle in the formula of the perimeter of the rectangle = $2\left( {l + b} ight)$, where l is the length and b is the breadth of the rectangle, we get$ \Rightarrow $ Perimeter of ABCD = $2\left( {l + b} ight)$$ \Rightarrow $ Perimeter of ABCD =$2\left[ {\left( {x + 3} ight) + x} ight]$ $ \Rightarrow $ Perimeter of ABCD …
Question
The length of a rectangle is 5 cm more than its breadth.If the perimeter of the rectangle is 70 cm.Find its length and breadth.
Answer ·
Let the breadth of the rectangle be x cmThen it's length = x + 5 cmPerimeter = 2 (length + breadth ) 70 = 2 (x + (x + 5 ) ) 702 = 2x + 5 2x + 5 = 35 2x = 35 - 5 = 30 x = 302 = 15 cmBreadth = x = 15 cm and length = x + 5 = 15 + 5 = 20 cm
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the perimeter of a rectangle is 26 CM if its length is 3 cm more than its breadth find the dimension of the rectangle
Answer · 75 votes
Question :The perimeter of a rectangle is 26 CM if its length is 3 cm more than its breadth find the dimension of the rectangle.Formulas Used:[tex]{\boxed{\sf{\green{Perimeter\: of\: rectangle=2(length+breadth)}}}}[/tex]Solution ;Given : Perimeter of reactangle =26cmLet the breadth of reactangle be x cm .⇒Legth of reactangle =x+3 cmPerimeter of rectangle=2(l+b)⇒26 = 2(x+3+x)⇒26=2(2x+3)⇒13 = 2x+3⇒10=2x⇒ x=5Therefore Dimensions of reactangle length ,x+3 =5+3=8 cmBreadth ,x=5cm__________________________Verification:Length =8cmbreadth=5cmperimeter = 2(l+b)=2(5+8)=26 cm
Question
The perimeter of a rectangle is 26 cm. If its length is 3 cm more than its breadth, find the dimensions of the rectangle.
Answer · 32 votes
Let breadth be x cm.Length = x + 3 cmPerimeter of rectangle = 26 cm 2(l + b) = 26 x + 3 + x = 13 2x = 10 x = 5 Therefore,Breadth = 5 cmLength = 8 cm
Vedantu
Question
The perimeter of a rectangle is 26cm. If its length is 3cm more than its breadth, find the dimensions of the rectangle.
Answer ·
Hint:We will use the formula of perimeter of the rectangle: $2\left( {l + b} ight)$ , where l is the length of the rectangle and b is the breadth of the rectangle. We will write the length of the rectangle in terms of the breadth of the rectangle and then put their value in the formula of the perimeter. Complete step by step solution:We are given the perimeter of the rectangle as 26cm.It is also stated that the length of the rectangle is 3cm more than the breadth of the rectangle. Let ABCD be the rectangle and its breadth BC be x cm. Therefore, the length of the rectangle of the rectangle will be $AB = x + 3$ cm.Putting the value of the length and the breadth of the rectangle in the formula of the perimeter of the rectangle = $2\left( {l + b} ight)$, where l is the length and b is the breadth of the rectangle, we get$ \Rightarrow $ Perimeter of ABCD = $2\left( {l + b} ight)$$ \Rightarrow $ Perimeter of ABCD =$2\left[ {\left( {x + 3} ight) + x} ight]$ $ \Rightarrow $ Perimeter of ABCD …
Question
The length of a rectangle is 5 cm more than its breadth.If the perimeter of the rectangle is 70 cm.Find its length and breadth.
Answer ·
Let the breadth of the rectangle be x cmThen it's length = x + 5 cmPerimeter = 2 (length + breadth ) 70 = 2 (x + (x + 5 ) ) 702 = 2x + 5 2x + 5 = 35 2x = 35 - 5 = 30 x = 302 = 15 cmBreadth = x = 15 cm and length = x + 5 = 15 + 5 = 20 cm
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