The area of a rectangle is 768 sq cm if the length and breath  are in ratio of 4:3  find length ,breath , and perimeter

Asked by Ritu | 11th Sep, 2016, 08:26: PM

Expert Answer:

begin mathsize 16px style Let space the space common space multiple space be space apostrophe straight x apostrophe.
So comma space the space length space and space breadth space of space the space rectangle space be space 4 straight x space and space 3 straight x space respectively.
Area space of space the space rectangle equals length space cross times space breath space
rightwards double arrow 768 equals space 4 straight x space cross times 3 straight x
rightwards double arrow 768 equals space 12 straight x squared
rightwards double arrow straight x squared equals 768 over 12
rightwards double arrow straight x squared equals 64
rightwards double arrow straight x equals 8
So comma space the space length equals 4 straight x equals 4 left parenthesis 8 right parenthesis equals 32 space cm
breadth space equals space 3 left parenthesis 8 right parenthesis space equals space 24 space cm
perimeter space of space the space rectangle space equals space 2 left parenthesis length space plus space breadth right parenthesis space equals space 2 space left parenthesis 32 space plus space 24 right parenthesis space equals space 2 space left parenthesis 56 right parenthesis space equals space 112 space cm. space end style

Answered by Rebecca Fernandes | 11th Sep, 2016, 08:42: PM

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