Question

Area of a square is 4 sq. M more than 2/3 of the area of a rectangle. If the area of square is 64 sq. M, then find the dimensions of rectangle, given that breadth is 2/5 of length.

Answer 1

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Here is your answer...
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Given that ,

Breadth of rectangle is 2/5 of Length

B = (2/5) × L

B = 2L/5

Now, According to the question

Area of Square = (2/3)×Area of rectangle + 4 m²

64 = (2/3) × (L × B) + 4

64 - 4 = (2/3) × (L × 2L/5)

60×3/2 = 2L²/5

30×3×5/2 = L²

15×3×5 = L²

=> L² = 15×15

=> L = 15 m

Therefore ,

B = 2L/5 = 2×15/5 = 2×3 = 6 m

=> B = 6 m

Hence,

Length of rectangle is 15 m
and Breadth of rectangle is 6 m