Jack had a piece of wire 288 cm long. He used it to form a rectangle with its length and breadth in the ratio 3 : 1.
- 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 = 1 u
Perimeter of the rectangle
= 2 x 3 u + 2 x 1 u
= 6 u + 2 u
= 8 u
8 u = 288
1 u = 288 ÷ 8 = 36
Length of the rectangle
= 3 u
= 3 x 36
= 108 cm
(b)
Breadth of the rectangle
= 1 u
= 1 x 36
= 36 cm
Area of the rectangle
= 108 x 36
= 3888 cm
2 Answer(s): (a) 108 cm; (b) 3888 cm
2