Perry had a piece of wire 120 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 = 120
1 u = 120 ÷ 10 = 12
Length of the rectangle
= 3 u
= 3 x 12
= 36 cm
(b)
Breadth of the rectangle
= 2 u
= 2 x 12
= 24 cm
Area of the rectangle
= 36 x 24
= 864 cm
2 Answer(s): (a) 36 cm; (b) 864 cm
2