ICSE-VIII-Mathematics
20: Area of Trapezium and a Polygon Class 8 Maths
- #10The length of a rectangle is 16 cm and its perimeter is equal to the perimeter of a square with side 12.5 cm. Find the area of the rectangle.Ans : Length of the rectangle = 16 cm
Let its breadth be x cm
Perimeter = 2 (16 + x) = 32 + 2x
Also perimeter = 4(12.5) = 50 cm.
According to statement,
32 + 2x = 50
⇒ 2x = 50 - 32 = 18
⇒ x = 9
Breadth of the rectangle = 9 cm.
Area of the rectangle (l× b) = 16× 9 = 144 cm2