Respuesta :

Answer

Area of the rectangle = 153 cm²

Explanation

Perimeter of a rectangle is given as

Perimeter of a rectangle = 2 (L + W)

L = Length = 17 cm

W = Width = ?

Perimeter = 52 cm

Perimeter of this rectangle = 2 (L + W)

52 = 2 (17 + W)

52 = 34 + 2W

We can rewrite this as

34 + 2W = 52

2W = 52 - 34

2W = 18

Divide both sides by 2

(2W/2) = (18/2)

W = 9 cm

Area of a rectangle = L × W = 17 × 9 = 153 cm²

Hope this Helps!!!

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