Tommy had a piece of wire 112 cm long. He used it to form a rectangle with its length and breadth in the ratio 5 : 2.
- What is the length of the rectangle?
- What is the area of the rectangle?
(a)
Length of the rectangle = 5 u
Breadth of the rectangle = 2 u
Perimeter of the rectangle
= 2 x 5 u + 2 x 2 u
= 10 u + 4 u
= 14 u
14 u = 112
1 u = 112 ÷ 14 = 8
Length of the rectangle
= 5 u
= 5 x 8
= 40 cm
(b)
Breadth of the rectangle
= 2 u
= 2 x 8
= 16 cm
Area of the rectangle
= 40 x 16
= 640 cm
2 Answer(s): (a) 40 cm; (b) 640 cm
2