Charlie had a piece of wire 162 cm long. He used it to form a rectangle with its length and breadth in the ratio 2 : 1.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 2 u
Breadth of the rectangle = 1 u
Perimeter of the rectangle
= 2 x 2 u + 2 x 1 u
= 4 u + 2 u
= 6 u
6 u = 162
1 u = 162 ÷ 6 = 27
Length of the rectangle
= 2 u
= 2 x 27
= 54 cm
(b)
Breadth of the rectangle
= 1 u
= 1 x 27
= 27 cm
Area of the rectangle
= 54 x 27
= 1458 cm
2 Answer(s): (a) 54 cm; (b) 1458 cm
2