David had a piece of wire 272 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 = 272
1 u = 272 ÷ 8 = 34
Length of the rectangle
= 3 u
= 3 x 34
= 102 cm
(b)
Breadth of the rectangle
= 1 u
= 1 x 34
= 34 cm
Area of the rectangle
= 102 x 34
= 3468 cm
2 Answer(s): (a) 102 cm; (b) 3468 cm
2