Question

PLEASE SOLVE THIS FAST!
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Answer 1

Answer:

Option(C)

Step-by-step explanation:

Let the length be 'l' and the breadth be 'b'.

Sum of adjacent sides = l + b.

Length of diagonal = √l² + b²

Given that sum is one-fourth the length of longer side.

⇒ (l + b) - (√l² + b²) = l/4

⇒ l + b - l/4 = (√l² + b²)

⇒ 3l/4 + b = (√l² + b²)

⇒ 3l + 4b = 4(√l² + b²)

On squaring both sides, we get

⇒ (3l + 4b)² = 16(l² + b²)

⇒ 9l² + 16b² + 24lb = 16l² + 16b²

⇒ 9l² - 16l² + 24lb = 0

⇒ -7l² = -24lb

⇒ 7l = 24b

Therefore, 7 times the length of longer side is 24 times the length of shorter side.

Hope it helps!