Question

The width of the rectangle is 2/3 of its length. If the perimeter of the rectangle is 80 cm. Find its length, breadth.

Answer 1

Answer:

Let length of the rectangle = L cm

Therefore, width of the rectangle = 2/3 × L cm

The perimeter of the rectangle = 2(L+2/3 × L) = 80 cm

Or, (L+2/3 × L) = 80/2

Or, (3L+2L)/3 = 40

Or, (3L+2L) = 3x40

Or, 5L = 120

Or, L = 120/5

Or, L = 24 cm

Area of the rectangle = L × 2/3 × L

Or, Area of the rectangle = 24 × 2/3 × 24

Or, Area of the rectangle = 24 × 2 × 8

Or, Area of the rectangle = 384 cm²

Step-by-step explanation:

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