Rectangle with breadth 75% of length: The breadth is 75% of the length. If the rectangle’s perimeter is 1050 m, find its area (in sq. m).

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Solve this multiple-choice question and choose the correct option.

Accepted Answer

Introduction / Context:Similar to related problems, a perimeter and a fixed proportional relation between sides allow us to solve for each dimension and then compute area. Given Data / Assumptions: B = 0.75L. Perimeter P = 1050 ⇒ 2(L + B) = 1050 ⇒ L + B = 525. Concept / Approach:Substitute B = 0.75L into L + B = 525 to solve for L, then compute B and multiply to get the area. Step-by-Step Solution: L + 0.75L = 525 ⇒ 1.75L = 525 ⇒ L = 300 m.B = 0.75 × 300 = 225 m.Area = L * B = 300 * 225 = 67,500 sq. m. Verification / Alternative check: Perimeter check: 2(300 + 225) = 2(525) = 1050 ✔ Why Other Options Are Wrong: 65700, 54500, 78700 are not the product of 300 and 225 and typically stem from arithmetic mistakes. Common Pitfalls: Treating 75% as 0.75 is essential; mixing percentage handling often causes errors. Final Answer: 67500 sq.m

Rectangle with breadth 75% of length: The breadth is 75% of the length. If the rectangle’s perimeter is 1050 m, find its area (in sq. m).

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