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A rectangular park is to be designed whose breadth is 3 m less than its length. Its area is to be 4 square metres more than the area of a park that has already been made in the shape of an isosceles triangle with its base as the breadth of the rectangular park and of altitude 12 m. Find the length and breadth of the rectangular park |
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Answer» Answer: HOPE it helps!! Mark this answer as brainliest if u found it useful and follow me for quick and accurate answers... Step-by-step explanation: Here, Length of Rectangular PARK = L BREADTH of Rectangular Park = L - 3 Altitude of Triangular Park = 12 Breadth of Triangular Park = L - 4 Now, Area of triangle = 1/2 × 12(L - 3) Area of rectangle - Area of triangle =4 ⇒L (L - 3) - 1/2 × 12(L - 3) =4 ⇒L² - 9L + 14 = 0 ⇒(L - 2) (L - 7) = 0 ⇒L = 2,7
Since, breadth is L - 3 , L ≠ 2 ∴ L=7m & breadth =7 - 3 = 4m |
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