Seth had a piece of wire 242 cm long. He used it to form a rectangle with its length and breadth in the ratio 7 : 4.
- 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 = 4 u
Perimeter of the rectangle
= 2 x 7 u + 2 x 4 u
= 14 u + 8 u
= 22 u
22 u = 242
1 u = 242 ÷ 22 = 11
Length of the rectangle
= 7 u
= 7 x 11
= 77 cm
(b)
Breadth of the rectangle
= 4 u
= 4 x 11
= 44 cm
Area of the rectangle
= 77 x 44
= 3388 cm
2 Answer(s): (a) 77 cm; (b) 3388 cm
2