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CBSE Class 6 Answered

The length of a rectangular field is thrice its breadth, if it's perimeter is 400 then find its length and breadth? 
Asked by ameetjain75 | 09 Mar, 2017, 10:13: PM
answered-by-expert Expert Answer
begin mathsize 16px style Let space the space breadth space of space the space rectangle space be space straight x So comma space the space length space equals space 3 straight x Perimeter space equals space 400 space left parenthesis Given right parenthesis We space know space that comma space perimeter space of space straight a space rectangle equals 2 left parenthesis length plus breadth right parenthesis rightwards double arrow space 400 equals 2 left parenthesis length plus breadth right parenthesis rightwards double arrow space 400 equals 2 left parenthesis 3 straight x plus straight x right parenthesis rightwards double arrow space 400 equals 2 left parenthesis 4 straight x right parenthesis rightwards double arrow space 400 equals 8 straight x rightwards double arrow space 8 straight x equals 400 rightwards double arrow straight x equals 400 over 8 rightwards double arrow straight x equals 50 So comma space the space breadth space equals space straight x space equals space 50 space units space and space the space length equals 3 straight x space equals space 3 left parenthesis 50 right parenthesis equals 150 space units end stylebegin mathsize 16px style Let space the space breadth space of space the space rectangle space be space straight x So comma space the space length space equals space 3 straight x Perimeter space equals space 400 space left parenthesis Given right parenthesis We space know space that comma space perimeter space of space straight a space rectangle equals 2 left parenthesis length plus breadth right parenthesis rightwards double arrow space 400 equals 2 left parenthesis length plus breadth right parenthesis rightwards double arrow space 400 equals 2 left parenthesis 3 straight x plus straight x right parenthesis rightwards double arrow space 400 equals 2 left parenthesis 4 straight x right parenthesis rightwards double arrow space 400 equals 8 straight x rightwards double arrow space 8 straight x equals 400 rightwards double arrow straight x equals 400 over 8 rightwards double arrow straight x equals 50 So comma space the space breadth space equals space straight x space equals space 50 space units space and space the space length equals 3 straight x space equals space 3 left parenthesis 50 right parenthesis equals 150 space units end style
Answered by Rebecca Fernandes | 10 Mar, 2017, 08:46: AM

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