Julian had a piece of wire 230 cm long. He used it to form a rectangle with its length and breadth in the ratio 3 : 2.
- 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 = 2 u
Perimeter of the rectangle
= 2 x 3 u + 2 x 2 u
= 6 u + 4 u
= 10 u
10 u = 230
1 u = 230 ÷ 10 = 23
Length of the rectangle
= 3 u
= 3 x 23
= 69 cm
(b)
Breadth of the rectangle
= 2 u
= 2 x 23
= 46 cm
Area of the rectangle
= 69 x 46
= 3174 cm
2 Answer(s): (a) 69 cm; (b) 3174 cm
2