Rael had a piece of wire 126 cm long. He used it to form a rectangle with its length and breadth in the ratio 5 : 2.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 5 u
Breadth of the rectangle = 2 u
Perimeter of the rectangle
= 2 x 5 u + 2 x 2 u
= 10 u + 4 u
= 14 u
14 u = 126
1 u = 126 ÷ 14 = 9
Length of the rectangle
= 5 u
= 5 x 9
= 45 cm
(b)
Breadth of the rectangle
= 2 u
= 2 x 9
= 18 cm
Area of the rectangle
= 45 x 18
= 810 cm
2 Answer(s): (a) 45 cm; (b) 810 cm
2