Sean had a piece of wire 190 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 = 190
1 u = 190 ÷ 10 = 19
Length of the rectangle
= 3 u
= 3 x 19
= 57 cm
(b)
Breadth of the rectangle
= 2 u
= 2 x 19
= 38 cm
Area of the rectangle
= 57 x 38
= 2166 cm
2 Answer(s): (a) 57 cm; (b) 2166 cm
2