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Area of the rectangle is 36 yd²

Step-by-step explanation:

  • Step 1: Let width of the rectangle be x yd. So, length = 5 + x. Perimeter = 30 yd.

Perimeter = 2 (length + width)

30 = 2 (x + 5 + x)

30 = 10 + 4x

4x = 20

x = 4

∴ 5 + x = 9

⇒ Length = 9 yd and width = 4 yd

  • Step 2: Find area

Area = length ××width

        = 9 × 4 = 36 yd²