The area of a rectangle remains the same if the length is increased by 7 meters and the breath is decreased by 3 meter. The area remains unafacted if the length is decreased by 7 meter and breath is increased by 5 meter. Find the dimensions of rectangle. please give me the answer as soon. who will give the answer first then i will mark as braninliest. Thank u.
Answers
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- Answer:
side = -7/3
Step-by-step explanation
let a number x
area = length x breadth
when the length increased by 7m, it becomes x+7
when the breadth decreased by 3m, it becomes x-3
then, area = (x+7)(x-3)
when the length decreased by 7m, it becomes x-7
when the breadth increased by 5m, it becomes x+5
then, area = (x-7)(x+5)
area of both are equal....
so, (x+7)(x-3) = (x-7)(x+5)
x²-3x+7x-21 = x²+5x-7x-35
equal terms on both sides cancels, ie,x²
-3+7b-21 = +5l-7b-35
-3l-5l+7b+7b = -35+21
-8l+14b = -14
-4l+7b = -7
4l-7b = 7
-3x+7x-21 = 5x-7x-35
4x-21 = -2x-35
4x+2x = -35+21
6x = -14
x = -14/6
= -7/3
when I used two numbers ,no answer was got. hence used one number. and so iam not sure .....