Ethan had a piece of wire 210 cm long. He used it to form a rectangle with its length and breadth in the ratio 3 : 4.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 3 u
Breadth of the rectangle = 4 u
Perimeter of the rectangle
= 2 x 3 u + 2 x 4 u
= 6 u + 8 u
= 14 u
14 u = 210
1 u = 210 ÷ 14 = 15
Length of the rectangle
= 3 u
= 3 x 15
= 45 cm
(b)
Breadth of the rectangle
= 4 u
= 4 x 15
= 60 cm
Area of the rectangle
= 45 x 60
= 2700 cm
2 Answer(s): (a) 45 cm; (b) 2700 cm
2