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Algebra hai please ans de ddo explanation ke sath |
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Answer» Answer: The length of the rectangle is 15 m and the breadth is 12 m. Step-by-step explanation: Let the length of the rectangle be denoted as “l” m and the breadth be denoted as “b” m. According to the first half of the QUESTION, we can write the equation as, lb – [(l+1)*(b-2)] = 20 ⇒ lb – [lb - 2l + b - 2] = 20 ⇒ lb – lb + 2l – b + 2 = 20 ⇒ 2l – b = 18 ……. (i) According to the second half of the question, we can write the equation as, [(l-3)*(b+4)] – lb = 12 ⇒ [lb + 4L - 3B - 12] – lb = 12 ⇒ lb + 4l - 3b - 12 – lb = 12 ⇒ 4l – 3b = 24 ……. (ii) Now, MULTIPLYING eq. (i) by 2 and then subtracting both eq. (i) & (ii), we get 4l – 2b = 36 4l – 3b = 24 - + - ------------------ b = 12 ------------------- Substituting the value of b in eq.(i), we get 2l – 12 = 18 ⇒ 2l = 30 ⇒ l = 30/2 ⇒ l = 15 Thus, the dimensions of the rectangle is 15M X 12 m. ----------------------------------------------------------------------------------------------- |
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