Answer
Area of the rectangle = 153 cm²
Step-by-step 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!!!