Math, asked by mgupta5166, 1 year ago

43.एक आयत की लंबाई में 40% वृद्धि करने पर इसकी चौड़ाई में
कितने प्रतिशत कमी करनी होगी। जिससे कि उसका क्षेत्रफल
अपरिवर्तित रहे?​

Answers

Answered by roninfit247
0

Answer:

i thought it was Hindi no math

Step-by-step explanation:

Answered by slicergiza
4

The breadth should be decreased by 28\dfrac{4}{7}\%

Step-by-step explanation:

Since, if length of rectangle is changed by x% and breadth is changed by y%,

Then change percentage in area = x + y+\frac{xy}{100},

if x = 40% and change percentage in area = 0%,

0=40+y+\frac{40y}{100}

0 = 40 + y +\frac{2y}{5}

0=40+\frac{5y+2y}{5}

0=40+\frac{7y}{5}

-40 =\frac{7y}{5}

-40\times 5=7y

-200 = 7y

\implies y =-\frac{200}{7}=-28\frac{4}{7}\%

Hence, the breadth should be decreased by 28\dfrac{4}{7}\%

#Learn more:

किसी आयत की लंबाई में 10% की वृद्धि तथा चौड़ाई में 10% की कमी की जाए तो उसके क्षेत्रफल प्रतिशत प्रभाव कितना होगा

https://brainly.in/question/2696965

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