Riordan had a piece of wire 126 cm long. He used it to form a rectangle with its length and breadth in the ratio 7 : 2.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 7 u
Breadth of the rectangle = 2 u
Perimeter of the rectangle
= 2 x 7 u + 2 x 2 u
= 14 u + 4 u
= 18 u
18 u = 126
1 u = 126 ÷ 18 = 7
Length of the rectangle
= 7 u
= 7 x 7
= 49 cm
(b)
Breadth of the rectangle
= 2 u
= 2 x 7
= 14 cm
Area of the rectangle
= 49 x 14
= 686 cm
2 Answer(s): (a) 49 cm; (b) 686 cm
2