Albert had a piece of wire 270 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 = 270
1 u = 270 ÷ 6 = 45
Length of the rectangle
= 2 u
= 2 x 45
= 90 cm
(b)
Breadth of the rectangle
= 1 u
= 1 x 45
= 45 cm
Area of the rectangle
= 90 x 45
= 4050 cm
2 Answer(s): (a) 90 cm; (b) 4050 cm
2